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Question

In the given figure, BCA=RPQ=15. Then PQR is


  1. 35°            

  2. 15°

  3. 45°

  4. 55°      


Solution

The correct option is C

45°


In ΔABC and ΔPQR, we have,
BCA=RPQ=15  [given]
BC=PR=1 km  [given]
AC=PQ=1.3 km  [given]
thus, ΔACBΔQPR by SAS congruency.
Thus, PQR=BAC  [CPCTE]
Along the horizontal line through point A, we have,
90+BAC+45=180
or, BAC=1804590
thus, PQR=BAC=45
 

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