Find the measure of each angle of a regular polygon of 20 sides?

Solution:

Given, the number of sides of a regular polygon is 20.

We have to find the measure of each angle of a regular polygon.

We know, measure of each interior angle of a polygon = (2n - 4)/n × 90°

Here, n = 20

Each interior angle = (2(20) - 4)/20 × 90°

= (40 - 4)/20 × 90°

= 36/20 × 90°

= 36/2 × 9°

= 18 × 9°

= 162°

Therefore, the measure of each interior angle of a regular polygon is 162°.

✦ Try This: Find the measure of each angle of a regular hexagon.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 201

Find the measure of each angle of a regular polygon of 20 sides?

Summary:

The measure of each angle of a regular polygon of 20 sides is 162°.

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