In ΔPQR, the side QR is extended to S such that RS = PR. If ∠QPS = 110° and ∠PRQ = 70°, then the value of ∠PQR is:
A. 50°
B. 40°
C. 35°
D. 45°
Answer: Option C
Solution (By Examveda Team)
∠PRQ = ∠RPS + ∠RSP (by exterior angle + x)
70° = x + x
x = 35°
∠RSP = 35° = ∠PSQ
∠PQS + ∠QPS + ∠PSQ = 180°
∠PQS + 110° + 35° = 180°
∠PQS = 35° = ∠PQR
This Question Belongs to Arithmetic Ability >> Geometry
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