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# Find the number of sides of a regular polygon with an exterior angle of

By the Exterior Angle Formula, the sum of the exterior angles in any polygon is #360°#.Since the polygon is regular, all the angles are congruent.This is very important: if the polygon was not regular, the exterior angles could be #30°, 170°,# and #160°#!. Anyway, we can name the number of sides #s# and the number of angles #a#.Because every polygon has the same number of sides and angles.
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Let number of sides be n. Exterior angle = 180°- 165 °=15° Sum of exterior angles of a regular polygon = 360° Number of sides = Sum of exterior angles / Each interior angle = 360°/15° = 24 Hence, the regular polygon has 24 sides. Class 8. Each interior angle of a regular polygon measures 135°. How many sides does the polygon have ?.

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How many sides does a polygon have with an interior angle of 175? A regular polygon with each interior angle of 175 deg will have each exterior angle as 180–175 = 5 deg. Hence the number of sides in the regular polygon = 360/5 = 72 sides..
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Given a regular polygon of N sides with side length a. The task is to find the area of the polygon. Examples: Input : N = 6, a = 9 Output : 210.444 Input : N = 7, a = 8 Output :.
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From a solid sphere of mass M and radius R a cube of maximum possible volume is cut. Moment of inertia of cube about an axis passing through its center and perpendicular to one of its faces is : Q. Help me answer: Distance of the centre of mass of a solid uniform cone from its vertex is z0. If the radius of its base is R and its height is h.
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Find the number of sides of a regular polygon if each interior angle is 144°. Find the number of sides of a regular polygon if each interior angle is 144°. Ex - 11.1 Maths ACE Prime Class 8 Solutions Pearson class 8 Solutions Quadrilaterals and Its Basics.
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In any polygon, the sum of an interior angle and its corresponding exterior angle is 180 °. That is, Interior angle + Exterior Angle = 180 °. Now for the number of exterior angles and so the number of sides: Divide 360 by 20 ( each exterior angle is 20 deg) to get 18. So the polygon has 18 sides..
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Ex 3.2, 2 Find the measure of each exterior angle of a regular polygon of (ii) 15 sidesWe know that Exterior angle = (360°)/𝑛 where n is the number of sides of regular polygon Given Number of sides of a regular polygon = 15 Exterior angle = 360"°" /15 = 24°.
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Find the number of sides of a regular polygon if each interior angle is 160°.
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Answer (1 of 6): Lets start to consider, the following image: We know that the interior angle is twice the external, and we know that: B=C Then we have: B+C=2A «=» 2B=2A «=» B=A In other hand wee know that D = \frac{360º}{n}, where n is the number of sides of the polygon. We also know that C=.
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. Solution: Irrespective of the number of sides of a regular polygon, the measure of each exterior angle is equal and the sum of the measure of all the exterior angles of the regular polygon is equal to 360°. (i) 9 sides. The total sum of all exterior angles = 360°. Each exterior angle = Sum of exterior angles / Number of sides. 🔴 Answer: 3 🔴 on a question Interior Angle Of A Regular Polygon: A regular polygon is one in which all sides are equal; therefore all are equal! To find the measure of an interior angle in a regular polygon - the answers to ihomeworkhelpers.com. Subject. English;. 👉 Learn how to determine the number of sides of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines. A regular polygon.

The number of sides of a regular polygon where each exterior angle has a measure of 45° is (a) 8 (b) 10 (c) 4 (d) 6 asked Jul 30, 2020 in Quadrilaterals by Dev01 ( 51.8k points) quadrilaterals. Answer (1 of 3): My dear friend, Given data :- The exterior angle value of the regular polygon = 108° Find out :- The number of sides of the regular polygon n =? "The required formula of the n sides of the regular is when the exterior angle of the regular polygon is given = [180°-(360°/n)]" 1.

For a regular polygon, the size of each exterior angle, [Math Processing Error] can be found from: [Math Processing Error] where n = number of sides Using this property, if you know the size of the exterior angle, you can find the number of sides. [Math Processing Error] [Math Processing Error] sides Answer link. Polygon Calculator. Use this calculator to calculate properties of a regular polygon. Enter any 1 variable plus the number of sides or the polygon name. Calculates side length, inradius.

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Well by both sides by end, Divided by 45. 3 60 divided by 45 is eight. So it's an octagon that has a 45 degree exterior angle, but the extra angle is nine and nine equals 3 60 over and multiply both sides by N nine and equals 3 60. So 3 60 divided by nine Is 40 so 40 sided polygon that has an exterior angle of 9°. Yeah.

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A regular polygon with each interior angle of 175 deg will have each exterior angle as 180–175 = 5 deg. Hence the number of sides in the regular polygon = 360/5 = 72 sides. ... What is the sum of the interior angles of a 6 sided polygon? Correct answer: The sum of the interior angles of a hexagon must equal 720 degrees..

• Description for Correct answer: According to question sum of interior angles = 5 × sum of exterior angles As we know that Exterior angle + Interior angle = 180 ∘ Exterior angle + 5 Exterior angle = 180 ∘ 6 Exterior angle = 180 ∘ Exterior angle = 30 ∘ n o. o f s i d e s = 360 ∘ E x t e r m a l a n g l e = 360 ∘ 30 ∘ = 12. The sum of the exterior angles of a polygon is equal to 360°. This can be proved with the following steps: We know that the sum of the interior angles of a regular polygon with 'n' sides = 180 (n-2). The interior and exterior angle at each vertex form a linear pair. Therefore, there will be 'n' linear pairs in the polygon. Find the measure of each exterior angle of a regular polygon having 9 sides. ... We know, Sum of exterior angle is = 360° ∴ For 9 sides = 360°/9 = 40 ... KVS, NVS, State.

• Other Properties of Regular Polygons The number of diagonals of a regular polygon is \binom {n} {2}-n=\frac {n (n-3)} {2}. (2n)−n = 2n(n−3). Find the perimeter of a regular 36 sided. Each interior angle = 140° ⇒ Each exterior angle = (180° - 140°) = 40° Formula Used: Interior angle + Exterior angle = 180° Number of sides = 360°/Measurement of each exterior angle . Calculation: Number of sides = 360°/Measurement of each exterior angle. ⇒ Number of sides = 360°/40° ⇒ Number of sides = 9. 160.2k + views. Hint: We are given a regular polygon whose exterior angle is 15 degrees and we have to find the sides of the polygon. We know that the sum of the exterior angles of a polygon is. 360 ∘. . So, if we divide the total sum of the exterior angle of a polygon by the exterior angle, then, we will get the value of the number of sides.

Question Find the number of sides of a regular polygon whose interior angle is twice the exterior angle. Options. A) 5. B) 6. C) 8. D) 9.

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How many sides does a polygon have with an interior angle of 175? A regular polygon with each interior angle of 175 deg will have each exterior angle as 180–175 = 5 deg. Hence the number of sides in the regular polygon = 360/5 = 72 sides..

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• We know that the measure of exterior angle is x = (n 3 6 0 ) 0 where n is the number of sides. Here, it is given that the exterior angle is x = 2 0 0 , therefore, n = x 3 6 0 = 2 0 3 6 0 = 1 8.

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number of sides = 360 ∘ 30 ∘ ∴ number of sides = 12. Therefore, the number of sides of the regular polygon with interior angle 150 ∘ is 12. This regular polygon looks like the following, Note: The sum of the interior angles of this regular polygon will be 150 ∘ × 12 = 1800 ∘. It is useful to know the relation between the interior.

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Total sum of all the exterior angles of the regular polygon = 360° Let number of sides be = n. Measure of each exterior angle = 24° Number of sides = Sum of exterior angles / each exterior angle = 360° / 24° = 15. Thus the regular polygon has 15 sides. ☛ Check: NCERT Solutions for Class 8 Maths Chapter 3. Video Solution:. How does this regular polygon calculator work? The algorithm behind this regular polygon calculator requires the side length and the number of sides to be given, while it is based on the formulas provided below: r = (s/2)*cotangent (180°/n) R = (s/2)*cosecant (180°/n) Area = (Perimeter*r)/2. Perimeter = n*s. Interior angle (x) = [ (n-2)/n.

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For a regular polygon, the size of each exterior angle, [Math Processing Error] can be found from: [Math Processing Error] where n = number of sides Using this property, if you know the size of the exterior angle, you can find the number of sides. [Math Processing Error] [Math Processing Error] sides Answer link. We know that the sum of all exterior angles of a regular polygon is 360 ∘. 360 ∘. It is given that each exterior angle is 40 ∘. 40 ∘. Thus, the number of sides in the given polygon = Sum of measure of all exterior angles Each exterior angle = 360 40 = 9. = Sum of measure of all exterior angles Each exterior angle = 360 40 = 9.. 👉 Learn about the interior and the exterior angles of a polygon. A polygon is a plane shape bounded by a finite chain of straight lines. The interior angle.

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Area of Triangles | Integers - Type 1. Employ this batch of pdf worksheets to find the area of triangles whose dimensions are presented as integers ≤ 20 in Level 1 and ≥ 10 in Level 2. Apply the formula A = 1/2 * base * height; to find the area. Level 1. Level 2. A regular polygon with each interior angle of 175 deg will have each exterior angle as 180–175 = 5 deg. Hence the number of sides in the regular polygon = 360/5 = 72 sides. ... What is the sum of the interior angles of a 6 sided polygon? Correct answer: The sum of the interior angles of a hexagon must equal 720 degrees.. Find the number of sides of a regular polygon if each interior angle is 144°. Find the number of sides of a regular polygon if each interior angle is 144°. Ex - 11.1 Maths ACE Prime Class 8 Solutions Pearson class 8 Solutions Quadrilaterals and Its Basics. Total sum of all the exterior angles of the regular polygon = 360° Let number of sides be = n. Measure of each exterior angle = 24° Number of sides = Sum of exterior angles / each exterior angle = 360° / 24° = 15. Thus the regular polygon has 15 sides. ☛ Check: NCERT Solutions for Class 8 Maths Chapter 3. Video Solution:.

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Let number of sides be n. Exterior angle = 180°- 165 °=15° Sum of exterior angles of a regular polygon = 360° Number of sides = Sum of exterior angles / Each interior angle = 360°/15° = 24 Hence, the regular polygon has 24 sides. Class 8. Each interior angle of a regular polygon measures 135°. How many sides does the polygon have ?. Find the number of sides of a regular polygon if each interior angle is 160°.

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• Solution : Let the number of sides of the regular polygon be 'n'. The interior angle of a regular polygon with n sides =180− 360 n = 180 − 360 n. Here, the exterior angle is half of its interior angle. 360×2 = 180n−360 360 × 2 = 180 n − 360 [ n n on both sides get cancelled].

• Answer (1 of 14): sum int angles =1440 sumof ext angle 360 total 1440+360 =1800 =sum of triangles of angle 180 no of triangle = 1800/180=10 sides =decagon Answer : The possible number of sides of the polygon =10 sides =decagon.

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• Solution: Irrespective of the number of sides of a regular polygon, the measure of each exterior angle is equal and the sum of the measure of all the exterior angles of the regular polygon is equal to 360°. (i) 9 sides. The total sum of all exterior angles = 360°. Each exterior angle = Sum of exterior angles / Number of sides.

• The sum of the exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle in a regular polygon is: 360 \ (\div\) number of sides. If you know the exterior.

Find the Number of Sides in a Regular Polygon, If Its Interior Angle is Equal to Its Exterior Angle. CISCE ICSE Class 8. Textbook Solutions 7709 ... Now, let no. of sides = n. ∵ each.

We can also recall that because the exterior angles of any polygon sum to 360 degrees, the measure of the exterior angle in a regular 𝑛-sided polygon is found by dividing 360 degrees by the number of sides. We’re told that the exterior angle of this regular polygon is 90 degrees..

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3) Select the polygons you want to merge (hold the Shift key while selecting the features so that you can select more than one), click the drop down arrow next to “Editor” on the Editor toolbar and click Merge. 4) Save your edits. This will merge your two non-contiguous parcels into one. In the process of merging, you will be asked to. Solution: Total sum of all the exterior angles of the regular polygon = 360°. Let number of sides be = n. Measure of each exterior angle = 24°. Number of sides = Sum of exterior angles / each exterior angle. = 360° / 24°. Thus the regular polygon has 15 sides. ☛ Check: NCERT Solutions for Class 8 Maths Chapter 3.. Measure of each exterior angle = 180° - 165 ° = 15° [Since, an interior and an exterior angle forms a linear pair] Number of sides = Sum of exterior angles / Each exterior angle. = 360° / 15. = 24. Hence, the regular polygon has 24 sides. ☛ Check: NCERT Solutions for Class 8 Maths Chapter 3..

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How many sides does a polygon have with an interior angle of 175? A regular polygon with each interior angle of 175 deg will have each exterior angle as 180–175 = 5. Find the number of sides of a regular polygon whose each exterior angle measures 40°. 1. 7 2. 8 3. 9 4. 10. Each interior angle = 140° ⇒ Each exterior angle = (180° - 140°) = 40° Formula Used: Interior angle + Exterior angle = 180° Number of sides = 360°/Measurement of each exterior angle . Calculation: Number of sides = 360°/Measurement of each exterior angle. ⇒ Number of sides = 360°/40° ⇒ Number of sides = 9.

Find step-by-step Algebra solutions and your answer to the following textbook question: Find the number of sides of each regular polygon. The measure of each exterior angle is $9^{\circ}$.. ... Where x x x is the measure of each exterior angle. The number of sides of the regular polygon n = 360 9 = 40 n=\dfrac{360}{9}.

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Find the number of sides of a regular polygon if each interior angle is 144°. Find the number of sides of a regular polygon if each interior angle is 144°. Ex - 11.1 Maths ACE Prime Class 8 Solutions Pearson class 8 Solutions Quadrilaterals and Its Basics.

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How many sides has a regular polygon whose interior angle is 11 times it's exterior angle. Let x = the interior angle Let y = the exterior angle. Let n = number of sides of the triangle. Each interior angle of a regular polygon = (n-2) * 180 / n Example: Each interior angle of a regular triangle = 1 * 180 / 3 = 60 degrees. Answer (1 of 14): * Statement of the given problem, * * An exterior angle of a regular polygon is 60°. How many sides does the polygon have? * Let N denotes the number of sides of the given regular polygon..

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This page includes a lesson covering 'how to find the exterior angle of a regular polygon' as well as a 15-question worksheet, which is printable, editable and sendable. Each exterior angle of. Find the number of sides of a regular polygon if each interior angle is 160°. The perimeter of any N-sided regular polygon is simply the sum of the lengths of all sides: . Therefore, for the regular hexagon:. "/> ... A = 3,1415 • 36 cm 2 A = 113,094 cm 2. SENSE -MAKING In each figure , a regular polygon is inscribed in a circle.Identify the center , a radius , an apothem , and a central angle of each polygon. Oct 05, 2019 · Since the polygon is. Find the number of sides in a regular polygon, if its interior angle is equal to its exterior angle. Login. Remember. Register; Test; JEE; NEET; Home; Q&A; Unanswered; Categories; Ask a Question; Learn; Ask a Question. The perimeter of any N-sided regular polygon is simply the sum of the lengths of all sides: . Therefore, for the regular hexagon:. "/> ... A = 3,1415 • 36 cm 2 A = 113,094 cm 2. SENSE -MAKING In each figure , a regular polygon is inscribed in a circle.Identify the center , a radius , an apothem , and a central angle of each polygon. Oct 05, 2019 · Since the polygon is. In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon A. 8 B. 6 C. 4 D. 3 Correct Answer: Option B Explanation 2x + x = 180 o 3x = 180 o x = 60 o (exterior angle of the polygon) angle = total angle number of sides 60 = 360 n n = 360 60 n = 6 sides.

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Polygon Calculator. Regular polygon calculator is an online tool to calculate the various properties of a polygon. It can be used to calculate the area of a regular polygon as well as. selected Jul 31, 2020 by Dev01 Best answer The number of sides of a regular polygon, where each exterior angle has a measure of 36o, is 10. We know that, the measure of each exterior angle of a regular polygon is 360o/n. Where 'n' is the number of sides in the polygon, Then, exterior angle has a measure of 36o So, 36o = 360o/n n = 360o/36o n = 10.

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In any polygon, the sum of an interior angle and its corresponding exterior angle is 180 °. That is, Interior angle + Exterior Angle = 180 °. Now for the number of exterior angles and so the number of sides: Divide 360 by 20 ( each exterior angle is 20 deg) to get 18. So the polygon has 18 sides.. find the number of sides of a regular polygon whose exterior angle has a measure of 45° If the school team won 15 games,or 5/8 of the games played,how many games were lost? Please answer the question..... The interior angles of a polygon are those angles at each vertex that are on the inside of the polygon. There is one per vertex. So for a polygon with N sides there are N vertices and N interior angles. For a regular polygon by definition all the interior angles are the same. Can it be an interior angle of a regular polygon? Regular polygon has. The size of each interior angle of a regular polygon is 5 times the size of the exterior angle. Find the number of sides of the polygon. Answers let the exterior angle be x. interior angle = 5x 5x + x = 180 o 6x = 180 o the number of sides 360 30 360 30 = 12 sides johnmulu answered the question on June 10, 2017 at 07:33.

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Find the number of sides of a regular polygon whose each exterior angle measures 40°. 1. 7 2. 8 3. 9 4. 10. Find the number of sides of a regular polygon if each interior angle is 144°. Find the number of sides of a regular polygon if each interior angle is 144°. Ex - 11.1 Maths ACE Prime Class 8 Solutions Pearson class 8 Solutions Quadrilaterals and Its Basics. Find the number of sides of a regular polygon if each interior angle is 144°. Find the number of sides of a regular polygon if each interior angle is 144°. Ex - 11.1 Maths ACE Prime Class 8 Solutions Pearson class 8 Solutions Quadrilaterals and Its Basics. Solution: Total sum of all the exterior angles of the regular polygon = 360°. Let number of sides be = n. Measure of each exterior angle = 24°. Number of sides = Sum of exterior angles / each exterior angle. = 360° / 24°. Thus the regular polygon has 15 sides. ☛ Check: NCERT Solutions for Class 8 Maths Chapter 3.. Feb 28, 2018 · 12 sides. By the Exterior Angle Formula, the sum of the exterior angles in any polygon is 360°. Since the polygon is regular, all the angles are congruent. This is very important: if the polygon was not regular, the exterior angles could be 30°, 170°, and 160°! Anyway, we can name the number of sides s and the number of angles a. Because every polygon has the same number of sides and ....

Solution: Total sum of all the exterior angles of the regular polygon = 360°. Let number of sides be = n. Measure of each exterior angle = 24°. Number of sides = Sum of exterior angles / each exterior angle. = 360° / 24°. Thus the regular polygon has 15 sides. ☛ Check: NCERT Solutions for Class 8 Maths Chapter 3..

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Total sum of all the exterior angles of the regular polygon = 360° Let number of sides be = n. Measure of each exterior angle = 24° Number of sides = Sum of exterior angles / each.
• A regular polygon... 👉 Learn how to determine the number of sides of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines.
• Solution: Let number of sides of given regular polygon is n. Then, sum of all of the angles can be given as , S = (n−2)∗180∘ →(1) Also, as we are given each interior angle is 165∘, So, Sum of all the angles will also be, S = 165n → (2) From (1) and (2), (n−2)∗ 180 = 165n. 180n−360 = 165n ⇒15n = 360 ⇒ n = 15360 = 24.
• Solution: Total sum of all the exterior angles of the regular polygon = 360°. Let number of sides be = n. Measure of each exterior angle = 24°. Number of sides = Sum of exterior angles / each exterior angle. = 360° / 24°. Thus the regular polygon has 15 sides. ☛ Check: NCERT Solutions for Class 8 Maths Chapter 3.
• Find step-by-step Algebra solutions and your answer to the following textbook question: Find the number of sides of each regular polygon. The measure of each exterior angle is $9^{\circ}$.. ... Where x x x is the measure of each exterior angle. The number of sides of the regular polygon n = 360 9 = 40 n=\dfrac{360}{9} ...
• The LCM of two numbers is 91 and HCF is 1 if one of the number is 7 find the other number. The abbreviation LCM stands for Least Common Multiple. The least common multiple (LCM) of two numbers is the lowest possible number that can be divisible by both numbers. It can be calculated for ...