Question

Find the value of x, y, and z in the parallelogram 75° on the right x (-7z+7)° on the top y (-y+9)° on the left z (4x+1)° on the bottom

Answer 1

I’m missing which expression is at which corner of the parallelogram. Could you either upload a picture or tell me explicitly which angle is at each vertex (for example: top‑left = __, top‑right = __, bottom‑right = __, bottom‑left = __)?

To save time, here are the facts we’ll use once the positions are clear:
- Opposite angles in a parallelogram are equal.
- Adjacent angles are supplementary (sum to 180°).

So if the four corner measures (in order) are A, B, C, D, we have
- A = C
- B = D
- A + B = 180 (and therefore each adjacent pair sums to 180).

Give the vertex mapping and I’ll write the equations and solve for x, y and z.