Mathematics

# In fig, sides  $QP$  and  $RQ$  of triangle  $PQR$  are produced to point  $S$  and  $T$  respectively. If angle  $S P R = 135 ^ { \circ }$  and angle  $P Q T = 110 ^ { \circ } \text { ,find } \angle P R Q$.

##### SOLUTION
REF.Image
So:- $\angle PQT+\angle PQR= 180$
$110+ \angle PQR= 180$
$\angle PQR = 70^{\circ}$
Now, $\angle SPR+\angle QPR= 180$
$135^{\circ}+\angle QPR= 180$
$\angle QPR= 45^{\circ}$
Now,
$\angle QPR+\angle PQR+\angle QRP= 180$
$45+70+\angle QRP = 180$
$\angle QRP = 65$

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Subjective Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
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