WAEC Mathematics 2015 Objective — Question 46

Question 46 of 50 from the West African Examinations Council (WAEC) Mathematics 2015 Objective paper, with the correct answer and a full explanation.

Two angles of a pentagon are in the ratio 2:3. The others are 60° each. Calculate the smaller of the two angles.

A. 72°
B. 100°
C. 120°
D. 144°Correct

Explanation

Sum of interior angles of pentagon = (5−2)×180 = 540°. Three angles at 60° total 180°, leaving 360° for the other two in ratio 2:3. Smaller angle = (2/5)×360 = 144°.

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