SOLUTION: in a parallelogram PQRS, mQ=8x+32 and mS=14x-40. Draw and label the parallelogram. Then determine the value of x and the mR. Explain and show all work

Algebra ->  Parallelograms -> SOLUTION: in a parallelogram PQRS, mQ=8x+32 and mS=14x-40. Draw and label the parallelogram. Then determine the value of x and the mR. Explain and show all work      Log On


   

Question 1065661: in a parallelogram PQRS, mQ=8x+32 and mS=14x-40. Draw and label the parallelogram. Then determine the value of x and the mR. Explain and show all work
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming Q and S are across from each other and not adjacent to each other.
8x%2B32=14x-40
6x=72
x=12
So then,
Q%2BS=2%288%2812%29%2B32%29=2%28128%29=256
So,
P%2BQ%2BR%2BS=360
P%2BR%2B256=360
P%2BR=104
P=R=52