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The sum of the interior angles of a polygon is 2160°. The number of sides of the polygon is-
Question

The sum of the interior angles of a polygon is 2160°. The number of sides of the polygon is-

A.

12

B.

13

C.

14

D.

15

Correct option is C

Given:

Sum of interior angles = 2160°

Solution:
Use the formula:
Sum of interior angles = (n − 2) × 180°

So,
2160 = (n − 2) × 180
Divide both sides by 180:
2160 ÷ 180 = 12
n − 2 = 12
n = 12 + 2 = 14

Correct answer is (c) 14).

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