An interior angle of a regular polygon has a measure of 135 degrees What type of polygon is it?
Answer
A
decagon
B
hexagon
C
nonagon
D
octagon
Explanation
For a regular polygon with n sides, each interior angle is 180° − 360°/n. Set this equal to 135°: 45° = 360°/n, so n = 8. A polygon with 8 sides is an octagon, choice D.
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