Answer:
x = 30 degrees
y = 15 degrees
z = 150 degrees
Explanation:
Finding x:
2x + 90 + x = 180
3x + 90 = 180
3x = 90
x = 30
x and 2y are alternate interior angles, which means that they are congruent:
x = 2y
30 = 2y
15 = y
x and z are same side interior angles, which means that they are supplementary:
x + z = 180
30 + z = 180
z = 180 - 30
z = 150