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?

A. 67.5
B. 72
C. 78.5
D. 65
Answer: Option A
Solution (By Examveda Team)

∠PMO = 90° (Angle made on tangent)
∠QOR = 90° - $$\frac{{\angle {\text{P}}}}{2}$$
∠QOR = 90° - 22.5°
∠QOR = 67.5°
Related Questions on Geometry
A. $$\frac{{23\sqrt {21} }}{4}$$
B. $$\frac{{15\sqrt {21} }}{4}$$
C. $$\frac{{17\sqrt {21} }}{5}$$
D. $$\frac{{23\sqrt {21} }}{5}$$
In the given figure, ∠ONY = 50° and ∠OMY = 15°. Then the value of the ∠MON is

A. 30°
B. 40°
C. 20°
D. 70°


Join The Discussion