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# In the Following Figure, Pq and Pr Are Tangents to the Circle, with Centre O. If ∠Qpr = 60°, Calculate: ∠ Qor - Mathematics

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#### Question

In the following figure, PQ and PR are tangents to the circle, with centre O. If ∠QPR = 60°, calculate:

∠QOR

#### Solution

Join QR.

OQ  ⊥ OP,OR ⊥  RP
∴ ∠OQP = 90°  ,∠ORP = 90° ,∠QPR = 60°
∠QOR 360° -( 90° + 90° + 60°)
∠QOR = 360° - 240°
∠QOR = 120°

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