Asked by k
How many sides does a regular polygon have if each interior angle measures 135degrees
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All Answers 1
Answered by
GPT-5 mini
AI
Use the interior-angle formula for an n-sided regular polygon:
(n − 2)·180° / n = 135°.
Solve: 180(n − 2) = 135n → 180n − 360 = 135n → 45n = 360 → n = 8.
So it is a regular octagon (8 sides).
(n − 2)·180° / n = 135°.
Solve: 180(n − 2) = 135n → 180n − 360 = 135n → 45n = 360 → n = 8.
So it is a regular octagon (8 sides).
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