SOLUTION: Find the value of each variable in the parallelogram. m∠1 = 10x, m∠2 = x + y, and m∠3 = 18z. http://www.phschool.com/atschool/phmath/tests/afa-06_assets/lesson4_q

Algebra ->  Parallelograms -> SOLUTION: Find the value of each variable in the parallelogram. m∠1 = 10x, m∠2 = x + y, and m∠3 = 18z. http://www.phschool.com/atschool/phmath/tests/afa-06_assets/lesson4_q      Log On


   

Question 731241: Find the value of each variable in the parallelogram. m∠1 = 10x, m∠2 = x + y, and m∠3 = 18z. http://www.phschool.com/atschool/phmath/tests/afa-06_assets/lesson4_qu1.gif
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The little marks across the sides mean that all sides are congruent.
That means it is a rhombus and the diagonals are perpendicular bisectors of each other.
All those angles are right angles.
The measures of those angles must be in degrees and the equations are
90=10x , 90=x%2By and 90=18z

90=10x --> 90%2F10=x --> x=9
90=18z --> 90%2F18=z --> z=5
system%28x=9%2C+90=x%2By%29 --> y=90-9 --> y=81