In the given figure, if PT is a tangent to a circle with centre O and ∠TPO = 35°,

Question

In the given figure, if PT is a tangent to a circle with centre O and \(\angle TPO = 35^\circ\), then the measure of \(\angle x\) is:

(A) 110°

(B) 115°

(C) 120°

(D) 125°

Answer 1

Correct option is (D) 125°

Since tangent is perpendicular to radius at the point of contact, we have:

\(\angle PTO = 90^\circ\)

Hence by the exterior angle formula applied to triangle OTP, we get:

\(x = 90^\circ + 35^\circ\).

\(=125^\circ\)