Question

Please help me with question 17

Image attached

Answer 1

Hi here is the answer:-

____________________________________♥️

Given that P is the point on the bisector of an angle ∠ABC, and PQ ‖ AB

We have to prove that BPQ is isosceles

Since,

BP is the bisector of ∠ABC = ∠ABP = ∠PBC (i)

Now,

PQ ‖ AB

∠BPQ = ∠ABP (ii) [Alternate angles]

From (i) and (ii), we get

∠BPQ = ∠PBC

Or,

∠BPQ = ∠PBQ

Now, in ∆BPQ

∠BPQ = ∠PBQ

is an isosceles triangle

Hence proved..

Hope it helps you ❣️❣️❣️❣️❣️