passpadi

2012

Mathematics

JAMB

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

A.

24°

B.

30°

C.

33°

D.

36°

Correct Answer: 36°

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° ∴ x + 2x + 3x + 4x + 5x = 15x 15x = 540° x=540/15=36°

Since there are 5 angles given, the polygon is a pentagon. Sum of interior angles of a pentagon = (2(5) - 4) x 90° = 540° ∴ x + 2x + 3x + 4x + 5x = 15x 15x = 540° x=540/15=36°
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