In the diagram, PQRS is a circle center O. PQR is a diameter and ∠PRQ...
MATHEMATICS
WAEC 2000
In the diagram, PQRS is a circle center O. PQR is a diameter and ∠PRQ = 40°. Calculate ∠QSR.
- A. 30°
- B. 40°
- C. 45°
- D. 50°
Correct Answer: D. 50°
Explanation
< Q = < R (OQ = OR = radii)
< QOR = 180° - 2(40°) = 100°
< QSR = < RPQ = \(\frac{1}{2}\) < QOR
= \(\frac{100}{2} = 50°\)
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