Question

In the given figure, PT is a tangent at T to the circle with centre O. If ∠TPO = 25°, then x is equal to ______.

विकल्प

• 25°

• 65°

• 90°

• 115°

Answer 1

In the given figure, PT is a tangent at T to the circle with centre O. If ∠TPO = 25°, then x is equal to 115°.

Explanation:

Since tangent is perpendicular to radius at the point of contact.

∴ ∠PTO = 90°

Hence, by the exterior angle formula, in ΔOTP, we get

x = 90° + 25°

= 115°