In the given figure, PQ = PS = SR and ∠QPS = 40°, then what is the value of ∠QPR (in degrees)?

A. 45

B. 60

C. 75

D. 50

Answer: Option C

Solution(By Examveda Team)

∠PQS = ∠PSQ = $$\frac{{{{180}^ \circ } - {{40}^ \circ }}}{2}$$   = 70°
∠PSR = 180° - 70° = 110°
∠SPR = ∠SRP = $$\frac{{{{180}^ \circ } - {{110}^ \circ }}}{2}$$   = 35°
∠QPR = ∠QPS + ∠SPR
= 40° + 35°
= 75°