SOLUTION: if the measure of the two opposite angles of a parallogram are: 3x + 40 and x + 50, what is the value of x and the measure of its angle?

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Question 422184: if the measure of the two opposite angles of a parallogram are: 3x + 40 and x + 50, what is the value of x and the measure of its angle?
Answer by shree840(260) About Me  (Show Source):
You can put this solution on YOUR website!
Two opposite angles of a parallelogram
two adjacent angles are supplementary.
If you draw a parallelogram A --------------B
- -
- -
D------------C
let us say angle dab is 3x+40 angle DCB = x+50
angle ADC =180-(3x+40)
two adjacent angles are supplementary
so 180-(3x+40)+x+50=180
180 cancels.
-3x-40+x+50=0
-2x+10=0
2x=10
x=5
angles are 3x+40=3*5+40=55
x+50=55