Question

In figure,
XA
AY
=
XB
BZ
and XAB = XZY. Prove that XYZ is an

isosceles triangle.

Answer 1

Since, XY=YZ

i. e., ΔXYZ is an isosceles triangle

Also, we know that the angles opposite to equal sides of an isosceles triangle are equal

Thus, if XY=YZ, then ∠Z=∠X