Answer:
Your answer is x = 65° , y = 57.5° , z = 57.5°
Explanation:
There is a triangle isoscocles so two angles are the same. There is a parallel line where two lines are the same.
<x = 65° and <y° = <z°
so
<x + <y + <z = 180
Plug in angle x.
65° + <y° + <z° = 180°
Subtract 65 to both sides.
<y° + <z° = 180° - 65°
<y° + <z° = 115°
Since <y° = <z° we substitute one of them
<y° + <z° = 115°
<y° + <y° = 115°
Add the <y° together
2y = 115°
Divide 2 to both sides to get y by itself.
<y° = 57.5°
So <y° = <z° = 57.5°