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Each of the interior angles of a regular polygon is 140°. How many sides has...

Mathematics
JAMB 2021

Each of the interior angles of a regular polygon is 140°. How many sides has the polygon?

  • A. 9
  • B. 8
  • C. 7
  • D. 5
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Correct Answer: Option A
Explanation

Each interior angle = \(\frac{(n - 2)180}{n}\)

140 = \(\frac{(n - 2)180}{n}\)

Cross multiply:

140n = 180n - 360

40n = 360

n = 9 sides ( A Nonagon)

There is an explanation video available below.


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Explanation Video

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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts