Asked by Ian
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 a regular n-gon: interior = ((n−2)/n)·180°. Set equal to 135°:
((n−2)/n)·180 = 135 → (n−2)/n = 135/180 = 3/4 → 4(n−2) = 3n → n = 8.
So the polygon has 8 sides (a regular octagon).
((n−2)/n)·180 = 135 → (n−2)/n = 135/180 = 3/4 → 4(n−2) = 3n → n = 8.
So the polygon has 8 sides (a regular octagon).
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