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Question

In the figure, sides QP and RQ of PQR are produced to points S and T, respectively. If SPR=135 and PQT=110, find 2PRQ.


A

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B

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C

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D

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Solution

The correct option is D


110+2=180 [since, RQT is a straight line]

2=180110

2=70

Also, 1+135=180 [since, QPS is a straight line]

1=180135=45

Also, 1+2+R=180 [angle sum property]

45+70+R=180

R=180115=65

Therefore, 2PRQ=65×2=130


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