Produced to points S and T respectively. If Angle SPR = 135° and Angle PQT = 110°. Find Angle PRQ.
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7
Answer:
PQT+∠PQR=180
∘
(Straight angle made on line TR at point Q)
110
∘
+∠PQR=180
∘
∠PQR=180
∘
−110
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=70
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In △PQR
∠PSR=∠PQR+∠PRQ (Exterior angle of triangle is eqal to sum of two interior angles)
135
∘
=70
∘
+∠PRQ
∠PRQ=135
∘
−70
∘
=65
∘
Answered by
2
- PQR= 180° then the complete angle of triangle are
- angle Q = 110°
- Q= 180°-110°= 70°is the interior angle
- angle P=135°
- P= 180°-135°=45° is the interior angle of triangle
- angle R= 360°-angle PQ
- angle PQ= 110°+135°=
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