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In the diagram above PQT is a tangent to the ci... - WAEC Mathematics 1992 Question

In the diagram above PQT is a tangent to the circle QRS at Q. Angle QTR = 48° and ∠QRT = 95°. Find ∠QRT

A
48o
B
45o
C
37o
D
32o
correct option: c

∠RQT = 180° - (95° + 48°) = 73°
∠OQR = 90° - 37° = 53°
∠QOR = 180° - (53° + 53°) = 74°
QSR = 74°/2 = 37°

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