JAMB - Mathematics (2012 - No. 23)

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

24^o

30^o

33^o

36^o

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°

\(x = \frac{540}{15} = 36°\)