Vidyalelo
Aptitude · Q105

Geometry

Competitive Exams · Aptitude · question 105

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)?
Geometry mcq question image
A.
45
B.
60
C.
75
Answer
D.
50

Answer: Option C

Solution

Answer: Option C
Solution:
Geometry mcq question image
∠PQS = ∠PSQ =   = 70°
∠PSR = 180° - 70° = 110°
∠SPR = ∠SRP =   = 35°
∠QPR = ∠QPS + ∠SPR
= 40° + 35°
= 75°