Question

Find the value of xx and yy in the parallelogram below.
90
144
-10x+10
-2y-6
Answer
Attempt 1 out of 2

x, equalsx=
y, equalsy=

Answer 1

I’m missing the diagram — I need to know which labeled angle is opposite which. In a parallelogram opposite angles are equal and adjacent angles are supplementary, so there are two equation types you might use:

1) If an expression is opposite a given number → set them equal.
2) If an expression is adjacent to a given number → set their sum to 180.

Here are the possible results depending on the diagram:

- If -10x+10 is opposite 90: -10x+10 = 90 → x = -8.
If -2y-6 is opposite 144: -2y-6 = 144 → y = -75.

- If -10x+10 is opposite 144: -10x+10 = 144 → x = -67/5 = -13.4.
If -2y-6 is opposite 90: -2y-6 = 90 → y = -48.

- If -10x+10 is adjacent to 90 (so supplementary): 90 + (-10x+10) = 180 → x = -8.
If -2y-6 is adjacent to 144: 144 + (-2y-6) = 180 → y = -21.

- If -10x+10 is adjacent to 144: 144 + (-10x+10) = 180 → x = -13/5.
If -2y-6 is adjacent to 90: 90 + (-2y-6) = 180 → y = -48.

Send a picture or tell me which angle is opposite which (or which are adjacent), and I’ll give the single correct x and y.