The angles of a polygon are given by x, 2x, 3x, 4x and 5x respectively. Find the value of x.
A
24o
B
30o
C
33o
D
36o
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
Since there are 5 angles given, the polygon is a pentagon.
Sum of interior angles of a pentagon = (2(5) - 4) x 90^\circ = 540^\circ
\(\therefore\) x + 2x + 3x + 4x + 5x = 15x
15x = 540^\circ
\(x = \frac{540}{15} = 36^\circ\)
Source: Myschool Past Questions Archive (Record #27334)