Question

Find the measure of the missing angles

Answer 1

$y = 65$

Since it is vertically opposite to that angle, it means that it's equal to it as well.

$x + 65 = 180$

$x = 180 - 65$

$x = 115$

X is supplementary to the angle besides it, meaning that their sum must he 180.

$z = x = 115$

Vertically opposite as well. :)