Home
Class 8
MATHS
Find the measure of each exterior angle ...

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

Text Solution

Verified by Experts

Sum of all exterior angles of a regular polyfon is `360^@`.
If `n` is number of sides and `x` is its exterior angle. Then,
`nx = 360^@`
(i) Here, `n = 9`
So, Exterior angle, `x = 360/9 = 40^@`

(ii) Here, `n = 15`
So, Exterior angle, `x = 360/15 = 24^@`

Promotional Banner

Topper's Solved these Questions

  • UNDERSTANDING QUADRILATERALS

    NCERT ENGLISH|Exercise EXERCISE 3.3|11 Videos

  • UNDERSTANDING QUADRILATERALS

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|7 Videos

  • SQUARES AND SQUARE ROOTS

    NCERT ENGLISH|Exercise EXERCISE 6.4|9 Videos

  • VISUALISING SOLID SHAPES

    NCERT ENGLISH|Exercise EXERCISE 10.3|8 Videos

Similar Questions

Explore conceptually related problems

Find the measure of the exterior angle of a regular dodecagon.

Find the measure of each exterior angle of an equilateral triangle.

Find the number of degree in each exterior angle of a regular pentagon.

The measure of each interior angle of a regular polygon is five times the measure of its exterior angle. Find : (i) measure of each interior angle, (ii) measure of each exterior angle and (iii) number of sides in the polygon

nA = 360 The measure A, in degrees, of an exterior angle of a regular polygon is related to the number of sides, n, of the polygon by the formula above. If the measure of an exterior angle of a regular polygon is greater than 50°, what is the greatest number of sides it can have?

Express in radians and also in degrees the angle of a regular polygon of (1) 40 sides, (ii) n sides.

What is a regular polygon? State the name of a regular polygon of (i) 3 sides (ii) 4 sides (iii) 6 sides

If each interior angle of a regular polygon is 144^@ , find the number of sides in it.

The ratio between the interior angle and the exterior angle of a regular polygon is 2: 1. Find : (i) each exterior angle of the polygon. (ii) number of sides in the polygon.

Each interior angle of a regular polygon is 135^(@) . Find : (i) the measure of each exterior angle (ii) number of sides of the polygon (iii) name of polygon