Given, the △XYZ where ∠YXZ=35o
and XY=YZ. Therefore, △XYZ is an isosceles triangle.
So, ∠YXZ=∠YZX=35o ( since, angles made by the equal sides with the other side of the triangle respectively.)
∴∠XYZ=180o−∠YXZ−∠YZX
=180o−35o−35o=180o−70o=110o
Now, ∠XYZ+∠XYT=180o ( since, they are supplementary angles) ∠XYZ+∠XYT=180o⇒∠XYT=180o−∠XYZ=180o−110o=70o
∴∠XYT=70o.