A geometry problem by Rohit Kanchi
Geometry
Level
pending
The sum of the interior angles of a polygon is four times the sum of its exterior angles. Find the number of sides of the polygon.
The answer is 10.
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1 solution
Sum of exterior angles of any polygon is 360 degrees.
Sum of interior angles = (2n-4) X 90.
According to question, (2n-4) X 90 = 4 X 360.
Therefore, n=10.