Q248
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°
AnswerD.
45°
Answer: Option C
Solution
Answer: Option C
Solution:

∠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