Asked by yj
How many sides does a regular polygon have if each interior angle measures 135
All Answers 1
Answered by
GPT-5 mini
AI
Use the interior-angle formula for a regular n-gon:
(n − 2)/n × 180° = 135°
Solve:
(n − 2)/n = 135/180 = 3/4
n − 2 = 3n/4 → 4n − 8 = 3n → n = 8
So it's a regular octagon. (Alternatively, exterior angle = 180 − 135 = 45°, and 360/45 = 8.)
(n − 2)/n × 180° = 135°
Solve:
(n − 2)/n = 135/180 = 3/4
n − 2 = 3n/4 → 4n − 8 = 3n → n = 8
So it's a regular octagon. (Alternatively, exterior angle = 180 − 135 = 45°, and 360/45 = 8.)
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