Question

A regular polygon has 10 sides. What is the measure of each interior angle of the polygon? 36° 1440° 144° 72°

Answer 1

144 deg

Explanation:

Sum of the measures of the angles of a polygon with n sides:

(n -2)180

For a 10-sided polygon, n = 10.

The sum of the measures is

(10 - 2)180 = (8)180 = 1440

Since the polygon is regular, all angles have the same measure, so the measure of 1 angle is

1440/10 = 144

Answer: 144 deg

Answer 2

144°

Explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 10, thus

sum = 180° × 8 = 1440°

Each interior angle = 1440° ÷ 10 = 144°