# Math Help - geometry / paralelograms

1. ## geometry / paralelograms

In parallelogram ABCD, AB = 2x + 5, m<BAC = 2y, m(B = 120, m<CAD = 21, and CD = 21 find x and y

this is not like the example i have to follow in my book at all!!!

2. Hello, kerilynn!

Did you make a sketch?

In parallelogram ABCD: .AB = 2x + 5, ./ BAC = 2y, ./ B = 120°, ./ CAD = 21°, .CD = 21
Find x and y.
Code:
          B *-----------------* C
/ 120°         *  /
/           *     /
2x+5 /        *        / 21
/ 2y  *           /
/  * 21°          /
A *-----------------* D

Opposite sides of a parallelgram are equal.

. . Hence: .2x + 5 .= .21 . . x = 8

Adjacent angles of a parallelogram are supplementary.

. . Hence: .(2y + 21°) + 120° .= .180° . . y = 19.5°