Answer:
x = 6, y = 42
Step-by-step explanation:
The diagonal divides both opposite angles into two angles. If ABCD is a parallelogram, then opposite sides are parallel, so we have alternate exterior angles.
Alternate exterior angles are congruent.
Therefore we have the equations:
4x = 24 and y - 10 = 32
4x = 24 divide both sides by 4
4x/4 = 24/4
x = 6
y - 10 = 32 add 10 to both sides
y - 10 + 10 = 32 + 10
y = 42
