Q105
In the given figure, PQ = PS = SR and ∠QPS = 40°, then what is the value of ∠QPR (in degrees)?
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
AnswerD.
50
Answer: Option C
Solution
Answer: Option C
Solution:

∠PQS = ∠PSQ = = 70°
∠PSR = 180° - 70° = 110°
∠SPR = ∠SRP = = 35°
∠QPR = ∠QPS + ∠SPR
= 40° + 35°
= 75°