# 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

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Answer: (3) 90o –B/2

Explanation:-
In the figure-

∠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.