The interior angle of a regular pentagon has a measure of:
A) 72°.
B) 108°.
C) 120°.
D) 144°.

Question

Quizplus · Accepted Answer

In a regular pentagon, all interior angles have the same measure. The formula for the measure of an interior angle of a regular polygon is:
Interior angle measure = (n-2) x 180° / n
Where n is the number of sides of the polygon. For a pentagon, n=5. So, the formula becomes:
Interior angle measure = (5-2) x 180° / 5 = 108°. Therefore, the correct answer is B, 108°.

The Interior Angle of a Regular Pentagon Has a Measure