WAEC Mathematics 2020 Objective — Question 43

Question 43 of 50 from the West African Examinations Council (WAEC) Mathematics 2020 Objective paper, with the correct answer and a full explanation.

In the diagram, O is the centre of the circle, PQ and RS are tangents to the circle. Find the value of (m deg + n deg).

A. 120 deg
B. 90 degCorrect
C. 75 deg
D. 60 deg

Explanation

Since PQ is a tangent, it makes a 90 deg angle with the radius at the point of contact; similarly for RS. The values m and n relate to half of the angles subtended, and by the geometry of the diagram, m+n = 90 deg.

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