If each interior angle of a regular polygon is 162 , how many sides does the polygon have?
- 20
- 40
- 30
- 50
Explanation
Interior angle of a regular n-gon: (n−2)·180°/n = 162°.
Solve:
(n − 2)·180 = 162n
180n − 360 = 162n
180n − 162n = 360
18n = 360
n = 360 / 18 = 20
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