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


The sum of the interior angles of a polygon is four times the sum of its exterior angles. Find the number of sides in the polygon.

A: 10

B: 12

C: 8

D: 7

Best Answer

Explanation:

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)

= > 180 (n - 2) = 4 × 360°

= > n – 2 = 8

= > n = 10

Number of sides in the polygon = 10.

Final Answer:

Hence, the correct option is (a) i.e. 10.

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