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QuizMultiple Choice

Area of Regular Polygons

Question 1 • *STPSB_Geometry 2627 Treigle

An interior angle of a regular polygon has a measure of 135°. What type of polygon is it?

Answer
A
hexagon
B
octagon
C
nonagon
D
decagon

Explanation

A regular polygon’s interior angle and exterior angle add to 180°. So the exterior angle is 180° − 135° = 45°. Since the exterior angles total 360°, the polygon has 360° ÷ 45° = 8 sides, making it an octagon (choice B).

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