Question

answer write in the copy​

Answer 1

Given :-

XZ = YZ  ..(i)

ZT is the bisector of angle XZY  ....(ii)

So,

To be proof

triangle XZT congruence to triangle YZT

In ΔXZT and ΔYZT

∠TXZ = ∠TYZ

[as from eq.(i) we get XZ = YZ ]

XY = ZY (given)

∠XZT = ∠YZT

[ as ZT is the bisector of angle XZY ]

Hence,

by ASA congruence condition the XZT ≅ triangle YZT

and

∠XTZ = ∠YTZ

by CPCT