Answer:
x = 130°
y = 50°
z = 130°
Explanation:
From the diagram, you can see that the angle given, 50° is a vertical angle to y. This means they are equal, so y = 50°.
Next, angle x, and the given 50° angle are supplementary since they form a straight line. Because of this, you get that:
50° + x = 180°
- and -
x = 130°
You can see that angle z is a vertical angle to angle x, so they are equal, which gives you z = x = 130°. --> z = 130°