Math, asked by tcs1066018, 1 month ago

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Answered by Anonymous
49

Solution :

The sum of the interior angles of a polygon is four times the sum of its exterior angles.

The sum of the exterior angles of a polygon is always equal to 360°

The sum of the interior angles of polygon = 180 (n − 2)

 \implies \: 180(n - 2) = 4 \times 360 \\  \implies \: n \:  - 2 = 8 \\  \implies \: n \:  =  \: 10

Number of sides in the polygon = 10

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