Question

The measure of an exterior angle of a regular polygon is given below. Find the measure of an interior angle. Then find the number of sides.
40
What is the measure of an interior​ angle?

Answer 1

Answer:

The polygon has 9sides with an interior angle measure of 140°

Step-by-step explanation:

The exterior angle of a regular polygon=360°/n

40°=360°/n

n=360°/40°=9

So the polygon has 9 sides thus, a nonagon.

The measure of the interior angle=(n-2)180°/n

=(9-2)×180°/9=140°