Question

Calculate the measure of one angle in a regular nonagon. a. 140� b. 180� c. 1,260� d. 1,620�

Answer 1

a

Explanation:

the sum of the interior angles of a polygon is

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

a nonagon has 9 sides, so n = 9 , then

sum = 180° × (9 - 2) = 180° × 7 = 1260°

since the nonagon is regular then the 9 interior angles are congruent

measure of 1 interior angle = 1260° ÷ 9 = 140°