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

Mathematics
JAMB 2012

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
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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.

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Explanation Video

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts