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Maths-

General

Easy

Question

In figure, the sides QP and RQ of $triangle P Q R$ are produced to points S and T respectively If $stack S P R with _ below equals 135 to the power of ring operator end exponent$ and $open floor P Q T equals 110 to the power of ring operator end exponent close$ then $text PRQ = end text$

65°
55°
45°
75°

The correct answer is: 65°

$angle P Q R plus angle P R Q space equals 135 to the power of ring operator angle P R Q plus angle Q P R space equals 110 to the power of ring operator angle P R Q plus angle P Q R plus angle Q P R equals 180 to the power of ring operator angle Q P R plus 135 to the power of ring operator equals 180 to the power of ring operator angle Q P R equals 45 to the power of ring operator angle P R Q plus 45 to the power of ring operator equals 180 to the power of ring operator angle P R Q equals 45 to the power of ring operator$

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