. 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.

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.aesthetic body workout

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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.

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**.

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.abandoned towns victoria

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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..