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Aptitude · Q152

Geometry

Competitive Exams · Aptitude · question 152

Q152

In the given figure, if OQ = QR, then the value of m is:

Geometry mcq question image
In the given figure, if OQ = QR, then the value of m is:
A.
3n°
Answer
B.
C.
2n°
D.
4n°

Answer: Option A

Solution

Answer: Option A
Solution:
Geometry mcq question image
∠PQO = 2n° (by exterior angle theorem)
PO = OQ (Radius)
∠OPQ = ∠OQP = 2n° (by exterior angle theorem)
∠POS = ∠OPQ + ∠ORP
m = 2n° + n°
m = 3n°