Question
In the given figure, O is centre of the circle. Circle
has 3 tangents. If ∠QPR = 45 0 , then what is the value (in degrees) of ∠QOR ?Solution
We draw line OL and OM which will be Ʇ (by tangent)  We draw another line OP which bisect angle P ON will be at 900 by tangent prop Angle ∠L = ∠N = 900 ∆ OLQ and ∆ OQN are similar (OQ common) ∠OQL and ∠OQN will be equal ∠Q = 67.50 ∠OQL =∠OQN = 112.5/2 = 56.250 ∠QON = 33.750 , same for ∠RON= 33.750 ∠QOR = 67.5
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