The measure of an exterior angle of a regular polygon is given below. Find the measure of an interior angle. Then find the numbe
r of sides.
40
What is the measure of an interior angle?
1 answer:
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°
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