Find Out the Angle ∠RQP, If

ABC is a cyclic triangle and the bisectors of ∠BAC, ∠ABC and ∠BAC meet the circle at P, Q and R respectively. Then the angle ∠RQP is:

  1. 90o – A/2
  2. 90o +B/2
  3. 90o –B/2
  4. 90o C/2
Monis Rasool Professor Asked on 28th August 2015 in Maths.
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  • 1 Answer(s)

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    Answer: (3) 90o –B/2

    Explanation:-
    In the figure-

    RE: Find Out the Angle ∠RQP, If


    ∠RQP = 180 – 2 Y
    = 90 – Y
    = 90 – B/2  (Y = B/2)

    Then the angle ∠RQP is 90 – B/2.

    Hence, the answer is (3) 90o –B/2.

    Anurag Mishra Professor Answered on 3rd September 2015.
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