Question

A regular polygon has 10 sides. What is the measure of each interior angle of the polygon?

Answer 1

144 = each interior angle

Explanation:

The sum of the interior angles of a regular polygon is

(n – 2)180

If it is regular with n sides, divide by n to find each interior angle

(n – 2)180

------------------- = each interior angle

n

We know that there are 10 sides so n = 10

(10 – 2)180

------------------- = each interior angle

10

(8)180

------------------- = each interior angle

10

144 = each interior angle