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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.



Your Answer
A

90

Your Answer
B

150

Your Answer
C

110

Correct Answer
D

130


Solution

The correct option is D

130


As, 110  + 2 = 180  ( linear pair)

So, 2 = 180  – 110 

i.e, 2 = 70 

Also, 1 + 135  = 180    ( 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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