Question

Find the value of x and y in the parallelogram 144 on the top 90 on the right x -10x+10 on the left y -2y-6 on the bottom

Answer 1

I’m not 100% sure how to read your diagram — could you confirm whether the numbers are side lengths or angle measures, and whether the left/bottom expressions are meant as "x - 10x + 10" and "y - 2y - 6"? (A picture would help.)

Assuming the usual parallelogram rule that opposite sides are equal and you meant side lengths:
- Top = 144, bottom = y - 2y - 6 = -y - 6, so 144 = -y - 6 → -y = 150 → y = -150.
- Right = 90, left = x - 10x + 10 = -9x + 10, so 90 = -9x + 10 → -9x = 80 → x = -80/9.

Those values are negative (and give an impossible parallelogram if interpreted as angles), so this interpretation is probably not what you meant.

If instead those labels are angles, a parallelogram has opposite equal angles and adjacent angles summing to 180°, so the labels "top = 144" and "right = 90" are inconsistent (a parallelogram cannot have both a 144° angle and a 90° angle).

Please clarify the diagram (side vs. angle labels and exact expressions) and I’ll solve it exactly.