CBSE
2026
Class Class 10 · Mathematics
1 Marks · Mcq
✅ Verified
If TP and TQ are two tangents to a circle with centre O from an external point T so that $\angle POQ = 120°$, then $\angle PTQ$ is equal to:
A. 60°
B. 70°
C. 80°
D. 90°
✅ Answer & Solution
✅ Correct Answer: A
In quadrilateral OPTQ, $\angle OPT = \angle OQT = 90°$ (tangent $\perp$ radius). Sum of angles of quadrilateral $= 360°$. So $\angle PTQ = 360° - 90° - 90° - 120° = 60°$.
✅ Verified by Super Admin