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In the diagram above PQT is a tangent to the circle QRS at Q. Angle…

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

A.
48^o
B.
45^o
C.
37^o
D.
32^o
E.
30^o

Correct Answer: Option C

Explanation

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