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In the diagram PQRS is a circle center O PQR is... - WAEC Mathematics 2000 Question

In the diagram, PQRS is a circle center O. PQR is a diameter and ∠PRQ = 40°. Calculate ∠QSR.

A
30o
B
40o
C
45o
D
50o
correct option: d

< Q = < R (OQ = OR = radii)

< QOR = 180° - 2(40°) = 100°

< QSR = < RPQ = \(\frac{1}{2}\) < QOR

= \(\frac{100}{2} = 50°\)

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