# the measure of each exterior angles of a regular polygon of 15 sides is

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## The measure of each exterior angle of a regular polygon of 15 sides is:

The measure of each exterior angle of a regular polygon of 15 sides is:

Byju's Answer Standard VIII Mathematics

Sum of all Exterior Angles of a Polygon

The measure o... Question

The measure of each exterior angle of a regular polygon of 15 sides is:

Open in App Solution We know that,

Sum of exterior angles of any polygon = 360°

Each exterior angle of a regular polygon of n sides =

360 ° n

So, measure of each exterior angle of a regular polygon of 15 sides =

360 ° 15 = 24 ° Suggest Corrections 15

SIMILAR QUESTIONS

**Q.**Find the measure of each exterior angle of a regular polygon of

15 sides.

**Q.**Find the measure of each exterior angle of a regular pentagon, hexagon, heptagon, polygon of 15 sides.

**Q.**Question 2 (ii)

Find the measure of each exterior angle of a regular polygon of:

(ii) 15 sides

**Q.**

Find the measure of each exterior angle of a regular pentagon, hexagon, heptagon, and polygon of

15 sides.

**Q.**Find the measure of exterior angle of a regular polygon of 15 sides

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## Q2Find the measure of each exterior angle of a regular polygon of i 9 sides ii 15 sides...

Free solutions for NCERT Solutions - Mathematics , Class 8 Chapter 4 - Understanding Quadrilaterals Exercise 3.2 question 3. These explanations are written by Lido teacher so that you easily understand even the most difficult concepts

## NCERT Solutions Class 8 Mathematics Solutions for Exercise 3.2 in Chapter 3 - Understanding Quadrilaterals

Prev Question 3 Next

Q2)Find the measure of each exterior angle of a regular polygon of

(i) 9 sides (ii) 15 sides

Answer: Solution 7: (i): 9 sides

Sum of all exterior angles=360 degrees

Exterior angle of regular polygon is same

Since, \frac{360}{9}=40 9 360 =40

Exterior angle=40 degrees for polygon of 9 sides

(ii): 15 sides

Sum of all exterior angles=360

Exterior angle of regular polygon is same,

Since, \frac{360}{15}=24 15 360 =24

Exterior angle=24 for polygon of 15 sides.

Related Questions

Q1) Find x in the following figures.(i)(ii)

Q4) How many sides does a regular polygon have if each of its interior anglesis 165°?

Q6) (a) What is the minimum interior angle possible for a regular polygon? Why?(b) What is the maxim...

Q3) How many sides does a regular polygon have if the measure of an exterior angle is 24°?

Q5)(a) Is it possible to have a regular polygon with measure of each exterior angle as 22°?(b) Can i...

**Find the measure of each exterior angle of a regular polygon of 15 sides.**

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## Find the measure of each exterior angle of a regular polygon of (i) 9 sides (ii) 15 sides

Find the measure of each exterior angle of a regular polygon of (i) 9 sides (ii) 15 sides. The measure of each exterior angle of a regular polygon of 9 sides and 15 sides are 40° and 24° respectively.

Find the measure of each exterior angle of a regular polygon of(i) 9 sides (ii) 15 sides

**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

= 360°/9 = 40°

Each exterior angle = 40°

(ii) 15 sides

The total sum of all exterior angles = 360°

Each exterior angle = Sum of exterior angles / Number of sides

= 360°/15 = 24°

Each exterior angle = 24°

**☛ Check:**Class 8 Maths NCERT Solutions Chapter 3

**Video Solution:**

## Find the measure of each exterior angle of a regular polygon of (i) 9 sides (ii) 15 sides

NCERT Solutions Class 8 Maths Chapter 3 Exercise 3.2 Question 2

**Summary:**

The measure of each exterior angle of a regular polygon of 9 sides and 15 sides are 40° and 24° respectively.

**☛ Related Questions:**

How many sides does a regular polygon have if the measure of an exterior angle is 24°?

How many sides does a regular polygon have if each of its interior angles is 165°?

(a) Is it possible to have a regular polygon with measure of each exterior angle as 22°? (b) Can it be an interior angle of a regular polygon? Why?

(a) What is the minimum interior angle possible for a regular polygon? Why? (b) What is the maximum exterior angle possible for a regular polygon?

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