Find the value of x and y in the parallelogram below

one moment im drawing it o.o/

Question

Find the value of x and y in the parallelogram below

one moment im drawing it o.o/

anonymous · Answer

|dw:1379968172285:dw|

jim_thompson5910 · Answer

in any parallelogram, the opposite sides are congruent or equal in length

jim_thompson5910 · Answer

so

AB = CD

3x - 6 = 2x+8

solve for x

jim_thompson5910 · Answer

also, in any parallelogram, the adjacent angles are supplementary

so they add to 180 degrees


(Angle A) + (angle D) = 180 

(64) + (4y - 2) = 180

solve for y

anonymous · Answer

does x=14?

im having trouble with solving for y i think i do:
64+4y-2=180 
64-2+4y=180
62+4y=180
-62        -62
-------------------
4y=118
----------
4
y=29.5?

jim_thompson5910 · Answer

both x and y are correct, nice work

jim_thompson5910 · Answer

optionally you can have y as a fraction and have y = 59/2, but y = 29.5 works too

anonymous · Answer

thank you so much!:D

jim_thompson5910 · Answer

you're welcome