Can someone please help me find the missing angles to each variable

x=130°

y=50°

z=130°

Step-by-step explanation:

x = 130°

y = 50°

z = 130°

Step-by-step 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°