SOLUTION: PQRS is a parallelogram. Find x. S(4x-15), P(3x-12), R(x+6), Q(2x+3)

Algebra ->  Parallelograms -> SOLUTION: PQRS is a parallelogram. Find x. S(4x-15), P(3x-12), R(x+6), Q(2x+3)      Log On


   



Question 939629: PQRS is a parallelogram. Find x. S(4x-15), P(3x-12), R(x+6), Q(2x+3)
Answer by laoman(51) About Me  (Show Source):
You can put this solution on YOUR website!
For a parallelogram, the two opposite angle are always equal,
Therefore, what we have to do is take two of the opposite angles given and equate to find x,
we can use P and R or S and Q
If I decide to use P and R, 3%2Ax-12+=x%2B6
Solving the equation, 2*x =18
x = 18/2 = 9
Also using S and Q,
4%2Ax-15=2%2Ax%2B3
2*x =18
and x =2
QED