Question

In the given figure, PA and PB are two tangents to the circle with centre O. If ∠APB = 60° then find the measure of ∠OAB.

Answer 1

From given figure,

PA and PB are the two tangents to the circle.

O be the centre of circle. OA and AB are joined

∠APB = 60°

To Find :∠OAB

Since PA and PB are tangents to the circle from P

∠OAB + 60° = 90°

∠OAB = 90° – 60° = 30°

Therefore, the measure of ∠OAB is 30°.