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Question

Find the number of sides in a polygon, if the sum of its interior angles is 1440.


Correct Answer
A
10
Your Answer
B
8
Your Answer
C
15
Your Answer
D
6

Solution

The correct option is A 10

The sum of interior angles of polygon = 1440

Let the number of sides = n

The sum of an interior angle of a polygon is (2n – 4) × 90

The side of a polygon can be calculated as,

(2n – 4) × 90 = 1440

2n – 4 = 144090

2(n – 2) = 144090

n – 2 = 14402×90

We get,
n – 2 = 8
n = 8 + 2
n = 10
Hence, the number of sides in the polygon = 10

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