WAEC Mathematics 2020 Objective — Question 33
Question 33 of 50 from the West African Examinations Council (WAEC) Mathematics 2020 Objective paper, with the correct answer and a full explanation.
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In the diagram, PQR is a circle with centre O. If angle OPQ = 48 deg, find the value of m deg.
- A. 96 degCorrect
- B. 90 deg
- C. 68 deg
- D. 42 deg
Explanation
Since OP=OQ (radii), triangle OPQ is isosceles, so angle OQP=angle OPQ=48 deg. angle POQ=180-(48+48)=84 deg. Using the circle's construction (join R to Q etc.), m is found to be 96 deg by the sum of angles in the triangle/straight line relationships shown in the diagram.
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