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Aptitude · Q248

Geometry

Competitive Exams · Aptitude · question 248

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°
Answer
D.
45°

Answer: Option C

Solution

Answer: Option C
Solution:
Geometry mcq question image
∠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