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WAEC Mathematics 2018 Objective — Question 17

Question 17 of 50 from the West African Examinations Council (WAEC) Mathematics 2018 Objective paper, with the correct answer and a full explanation.

In the diagram above, PS and RS are tangents to the circle centre O, ∠PSR = 70°, ∠POR = m° and ∠PQR = n°. Find (m° + n°).

A. 110°
B. 135°
C. 165°Correct
D. 225°

Explanation

∠POR=180−90−35−35=... m=110°, n (angle at circumference)=55°, so m+n=165°.

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