# Find Out the Value of ∠RPQ

Internal bisectors of ∠Q and ∠R of DPQR interest at O. ∠ROQ=96o then the value of ∠RPQ is:

1. 6o
2. 12o
3. 24o
4. 36o
Monis Rasool Professor Asked on 30th August 2015 in

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Explanation:-
In the diagram –

Then, 90 + ∠RPQ / 2 = 96
Therefore, ∠RPQ /2 = 96 – 90
∠RPQ /2 = 6
∠RPQ = 6 x 2
∠RPQ = 12
Then, the value of ∠RPQ is 12o
Hence, the answer is (2) 12o

Anurag Mishra Professor Answered on 31st August 2015.