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      Question

      In the given figure, O is centre of the circle. Circle

      has 3 tangents. If тИа QPR = 45 0 , then what is the value (in degrees) of тИа QOR ?
      A 67.5 Correct Answer Incorrect Answer
      B 72 Correct Answer Incorrect Answer
      C 78.5 Correct Answer Incorrect Answer
      D 65 Correct Answer Incorrect Answer

      Solution

      We draw line OL and OM which will be ъЮ▒ (by tangent) ┬а We draw another line OP which bisect angle P ON will be at 900 by tangent prop Angle тИа L = тИа N = 900 тИЖ OLQ and тИЖ OQN are similar (OQ common) тИа OQL and тИа OQN will be equal тИа Q = 67.50 тИа OQL =тИа OQN = 112.5/2 = 56.250 тИа QON = 33.750 , same for тИа RON= 33.750 тИа QOR = 67.5

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