The angles of a polygon are given by x, 2x, 3x, 4x and 5x respectively….

The angles of a polygon are given by x, 2x, 3x, 4x and 5x respectively. Find the value of x.

Correct Answer: Option D

Explanation

Since there are 5 angles given, the polygon is a pentagon.

Sum of interior angles of a pentagon = (2(5) – 4) x 90° = 540°

(therefore) x + 2x + 3x + 4x + 5x = 15x

15x = 540°

(x = frac{540}{15} = 36°)

There is an explanation video available below.