Question

Two Circles tough externally at T. A chord of the first Circle XY is produced and touches the other at Z. The chord ZT of the second circle, when produced, cuts the first circle at W. Prove that XTW=YTZ

Answer 1

Thanks but how to prove that XTW=YTZ?

Answer 2

do u know any property of chords that we can apply here ?

Answer 3

I don't really know! :/

Answer 4

have u learnt about alternate segment theorem ?

Answer 5

i thought about it but i couldn't find a Tangent.

Answer 6

u have to draw it.