PQ and PR are two tangents such that angle P=60° , find the angle of ANGLE QTR
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m∠QTR = 120°
Step-by-step explanation:
Refer to attachment for figure.
∠P = 60°
∠PRT = ∠PQT = 90° (Tangent to any point subtends 90° with radius)
Consider quadrilateral PQTR
Sum of all angles = 360° (Angle sum property of a quadrilateral)
∠P + ∠PQT + ∠PRT + ∠QTR = 360°
60° + 90° + 90° + ∠QTR = 360°
240° + ∠QTR = 360°
∠QTR = 360° -240°
∠QTR = 120°
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