The sum of the three angles of the triangle is always equal to 180°
If AB is transversal on mAD and m BC then <y=<x as shown in the figure as
x+y=y+x
In Δ AEB
<y+ <x+ <z=180
<y+ <y+ <z=180
2<y+ <z=180---------eq.1
or
<x+ <x+ <z=180
2<x+ <z=180--------eq.2
From eq.1 and eq.2 it is seen that the given triangle is isosceles right angled triangle .
An isosceles right triangle is one which has two sides and two angles equal and the third angle equal to 90 degrees.
When two angles in a triangle are equal then the third angle is right angle which is equl to 90 degrees.
In right angle triangle AEB
When <x=<y then <z= 90 degrees
For more on click isosceles right angled triangle
https://brainly.com/question/18452950
https://brainly.com/question/20447308
