32
practice examMultiple Choice

Practice Exam

Question 32 • Geometry: Concepts and Connections

An interior angle of a regular polygon has a measure of 108 degrees What type of polygon is it?

Answer
A
octagon
B
nonagon
C
hexagon
D
pentagon

Explanation

For a regular polygon with n sides, each interior angle measures 180° − 360°/n. Set this equal to 108°: 180° − 108° = 72°, so n = 360°/72° = 5. A five-sided polygon is a pentagon, so the correct choice is D.

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