The missing angles are:
x = 120°
z = 125°
y = 60°
How to find the missing angles?
Opposite angles, also known as vertically opposite angles, are the pair of angles formed by two intersecting lines. They are located across from each other and share the same vertex. Opposite angles are always equal in measure, making them congruent.
Thus:
x is an opposite angle to 120°
x = 120°
Similarly:
z - 5 = 120
z = 125°
y forms a linear pair with 120°. Thus:
y = 180° - 120°
y = 60°