Question

PA and PB are tangents to the circle with centre O .If angle APB =60°,find angle PAB.

Answer 1

Answer:

Angle PAB = 60°

Step-by-step explanation:

Given,

PA and PB are two tangents to a circle with centre O.

Since, Tangents from an external point to a circle are equal.

Therefore, PA=PB

i.e. Angle BAP =Angle PBA (angles opposite

to equal sides are equal)

Now,

From triangle BAP

Angle PAB + Angle PBA + Angle APB = 180°

= 2 Angle PAB + 60° = 180°

THEREFORE, Angle PAB = 60°