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WAEC Mathematics 2017 Objective — Question 35

Question 35 of 50 from the West African Examinations Council (WAEC) Mathematics 2017 Objective paper, with the correct answer and a full explanation.

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Three exterior angles of a polygon are 30°, 40° and 60°. If the remaining exterior angles are 46° each, name the polygon.

  • A. A. Decagon
  • B. B. Nonagon
  • C. C. OctagonCorrect
  • D. D. Hexagon

Explanation

Sum of exterior angles = 360°. 30+40+60+46n=360 → 130+46n=360 → 46n=230 → n=5. Total sides = 3+5=8, so the polygon is an octagon.

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