Question

find the measure of each angle of a polygon of 20 sides

Answer 1

Each exterior angle of a regularpolygon of 20 sides = 360/20 = 18 deg.Each interior angle of a regularpolygon of 20 sides = 180 - 18 = 162 deg. Total sum of the 20 interior angles of the regular polygon = 162*20 = 3240 deg.

Answer 2

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

Given :

A polygon with 15 sides

To find :

The measure of each angle of a polygon of 20 sides

Formula :

The sum of interior angles of a polygon with n sides = (n - 2) × 180°

Solution :

Step 1 of 3 :

Write down the number of sides

Here it is given that the polygon has 20 sides

Step 2 of 3 :

Find sum of interior angles of a polygon

Number of sides = n = 20

The sum of interior angles of a polygon with 20 sides

= (20 - 2) × 180°

= 18 × 180°

= 3240°

Step 3 of 3 :

Calculate the measure of each angle of a polygon of 20 sides

Sum of interior angles of a polygon with 20 sides = 3240°

Hence the measure of each angle of a polygon of 20 sides

= 3240°/20

= 162°

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