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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.


  1.  

  2.  

  3.  

  4.  


Solution

The correct option is D

 


As,110+2=180     [Linear pair]

So,2=180110 

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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