Answer:
The answer to your question is:
x = 43°, y = 137° and z= 43°
Explanation:
-If lines L and M are parallel, that means that 43° and z are corresponding angles and they measure the same.
z = 43°
- y and 43° are supplementary angles , so
y + 43 = 180
y = 180 - 43
y = 137°
- x and z are vertical angles, so they measure the same
x = z = 43°