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Aptitude · Q90

Geometry

Competitive Exams · Aptitude · question 90

Q90

In the given figure, O is centre of the circle. Circle has 3 tangents. If ∠QPR = 45°, then what is the value (in degrees) of ∠QOR?

In the given figure, O is centre of the circle. Circle has 3 tangents. If ∠QPR = 45°, then what is the value (in degrees) of ∠QOR?
Geometry mcq question image
A.
67.5
Answer
B.
72
C.
78.5
D.
65

Answer: Option A

Solution

Answer: Option A
Solution:
Geometry mcq question image
∠PMO = 90° (Angle made on tangent)
∠QOR = 90° -
∠QOR = 90° - 22.5°
∠QOR = 67.5°