SOLUTION: how do you find the x and y vaules of a paralleogram? for example i have a rectangle and in the top left there is 2x+2 and in the bottom left its 112 degrees , the upper left is bl

Algebra ->  Parallelograms -> SOLUTION: how do you find the x and y vaules of a paralleogram? for example i have a rectangle and in the top left there is 2x+2 and in the bottom left its 112 degrees , the upper left is bl      Log On


   



Question 840864: how do you find the x and y vaules of a paralleogram? for example i have a rectangle and in the top left there is 2x+2 and in the bottom left its 112 degrees , the upper left is blank but the bottom right has y degrees how would i solve that?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
I believe this is your parallelogram.
It is not a rectangle, because a rectangle is a parallelogram with four 90%5Eo angles, and this parallelogram has a 112%5Eo angle.

In a parallelogram,
opposite angles are congruent (same measure), and
adjacent angles are supplementary (their measures add up to 180%5Eo.
So,
y=2x%2B2=180%5Eo-112%5Eo=68%5Eo
highlight%28y=68%29
and 2x%2B2=68-->2x=68-2-->2x=66-->x=66%2F2-->highlight%28x=33%29