Question

If TP and TQ are two tangents to a circle with centre O from an external point T so that ∠ POQ = 120°, then ∠ PTQ is equal to ______.

विकल्प

• 60°

• 70°

• 80°

• 90°

Answer 1

If TP and TQ are two tangents to a circle with centre O from an external point T so that ∠ POQ = 120°, then ∠ PTQ is equal to 60°.

Explanation:

The sum of angles in a quadrilateral is 360°.

∠ POQ + ∠ OPT + ∠ PTQ + ∠ OQT = 360°

120° + 90° + ∠ PTQ + 90 = 360°

300° + ∠ PTQ = 360°

∠ PTQ = 360° − 300°

∠ PTQ = 60°