asked 148k views
4 votes
The interior angle of a regular pentagon has a measure of:

A) 72°.
B) 108°.
C) 120°.
D) 144°.

1 Answer

4 votes

Answer:

B) 108°

Explanation:

You want the interior angle measure for a regular pentagon.

Interior angles

The interior angles of a regular n-gon will have measure ...

180° -360°/n

When n = 5, the interior angles have measure ...

180° -360*/5 = 180° -72° = 108°

The interior angles of a regular pentagon are 108°.

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Additional comment

The 360°/n comes from the fact that the sum of exterior angles for any convex polygon is 360°. For a regular n-gon, those exterior angles are congruent, so each is 360°/n. The interior angle is its supplement.

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answered
User Burtyish
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