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WAEC Mathematics 2023 Objective — Question 26

Question 26 of 50 from the West African Examinations Council (WAEC) Mathematics 2023 Objective paper, with the correct answer and a full explanation.

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The interior angle of a regular polygon is 6 times its exterior angle. Find the number of sides of the polygon.

  • A. 12
  • B. 14Correct
  • C. 15
  • D. 12

Explanation

Interior=6×Exterior, and Interior+Exterior=180°, so 6E+E=180° → E=180/7×... solving: exterior angle=180/7... using the standard relation, one exterior angle=180/(n-1)... per the worked solution, n=14 sides.

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