Question

In the given figure, O is the centre of the circle. AB is the tangent to the circle at the point p. If ∠APQ = 58° then the measure of ∠PQB is

(a) 32°

(b) 58°

(c) 122°

(d) 132°

Answer 1

We know that a chord passing through the center is the diameter of the circle.

∵ ∠QPR = 90° (Angle in a semi circle is 90°)

By using alternate segment theorem

We have ∠APQ = ∠PRQ = 58°

Now, In △PQR