Explanation:
how did you get y, when you don't know how to get x ?
the easiest way to solve this is to base on the fact that the opposite angles must be identical.
so,
2x + 32 = 4x - 12
32 = 2x - 12
44 = 2x
x = 22
and the to be sure
-8y - 14 = -5y + 4
-3y = 18
y = -18/3 = -6
or, the sum of 2 consecutive angles must be 180°.
2x + 32 - 5y + 4 = 180
2x - 5y + 36 = 180
2x - 5y = 144
-8y - 14 + 4x - 12 = 180
-8y + 4x = 206
-4y + 2x = 103
-5y + 2x = 144
- -4y + 2x = 103
------------------------
- y 0 = 41
y = -41
-4×-41 + 2x = 103
164 + 2x = 103
2x = -61
x = -30.5
ha, your teacher either set a trap or made a mistake.
these given angles do not belong to a parallelogram.
there is no solution for x and y with these angle expressions to create a parallelogram.
every condition that has to be true creates a different and inconsistent set of solutions (and implausible ones at that creating single angles larger than 200° and even 300°, or smaller than 0°).