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Question

In the figure, sides QP and RQ of ΔPQR 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


As, 110 + 2 = 180 (by linear pair)

So, 2 = 180 110

i.e, 2 = 70

Also, 1 + 135 = 180 (by linear pair)

1 = 180 135

i.e, 1 = 45

Also, 1 + 2 + R = 180 (angle sum property)

Or, 45 + 70 + R = 180

R = 180 115

i.e, R = 65

Therefore, 2PRQ = 130


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