WAEC Mathematics 2019 Objective — Question 33

Question 33 of 145 from the West African Examinations Council (WAEC) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

33. The interior angles of a polygon are 3x°, 2x°, 4x°, 3x° and 6x°. Find the size of the smallest angle of the polygon.

A. 80°
B. 60°
C. 40°Correct
D. 30°

Explanation

Sum of interior angles of a polygon = (n−2)×180°, n=5 ⇒ sum=540°. 3x+2x+4x+3x+6x=540 ⇒ 18x=540 ⇒ x=30°. The smallest angle is 2x=2×30=60°.

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