Question

 P is a point on the bisector of ∠ABC. If the line through P, parallel to BA meet BC at Q, prove that BPQ is an isosceles triangle. ​

Answer 1

Answer:

It is given that,

Angle 1 = Angle 2 ( due to bisector )

AB||BP

So,

We can say that,

Angle 1 = Angle 3

But, we know that

Angle 1 = Angle 2

So from this we can say that,

Angle 2 = Angle 3

So BQ=PQ ( due to equal angles)

So BPQ is an isosceles triangle.

Hope it will help you.....