The angles of a polygon are given by x, 2x, 3x, 4x and 5x respectively. Find the value of x.
- 24o
- 30o
- 33o
-
36o
The correct answer is: 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 .