SOLUTION: The sum of the interior angles of a polygon is twice the sum of its exterior angles. How many sides does the polygon have?
(1) 8 sides
(2) 9 sides
(3) 12 sides
(4) 6 sid
Algebra.Com
Question 1057870: The sum of the interior angles of a polygon is twice the sum of its exterior angles. How many sides does the polygon have?
(1) 8 sides
(2) 9 sides
(3) 12 sides
(4) 6 sides
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
sum of interior angles is (n-2) * 180, where n is the number of sides of the polygon
:
sum of exterior angles is 360
:
(n-2) * 180 = 2 * 360
:
180n - 360 = 720
:
180n = 1080
:
n = 6
:
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There are 6 sides to the polygon (4)
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