Question

In the given figure, O is the center of a circle, PQ is a chord and the tangent PT at P makes an angle of 50° with PQ. Then, ∠POQ = ?

(a) 130°

(b) 100°

(c) 90°

(d) 75°

Answer 1

Correct answer is (b) 100°

Given, ∠QPT = 50°

Now, ∠OPT = 90°

(Since tangents drawn from an external point are perpendicular to the radius at point of contact)