Each interior angle of a regular n-sided polygon is 150 degrees. How many sides does the polygon have?
1 answer:
The sum of the interior angles of the polygon = (n - 2) x 180 .
(n - 2) x 180 = (n x 150)
180n - 360 = 150n
Add 360 to each side:
180n = 150n + 360
Subtract 150n from each side:
30n = 360
Divide each side by 30 :
<u>n = 12</u>
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