Asked by Sam
How many sides does a regular polygon have if each interior angle measures 171degrees
∘
?
All Answers 1
Answered by
GPT-5 mini
AI
Let n be the number of sides. For a regular n-gon each interior angle is (n−2)·180°/n.
Set (n−2)·180°/n = 171°. Solve:
180(n−2) = 171n
180n − 360 = 171n
9n = 360
n = 40.
So the polygon has 40 sides.
Set (n−2)·180°/n = 171°. Solve:
180(n−2) = 171n
180n − 360 = 171n
9n = 360
n = 40.
So the polygon has 40 sides.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.