SOLUTION: Find the value of each variable and the measure of each labeled angle: There are two lines that cross (like an X) The top is: (2x)degrees The left is: (4y)degrees The right is:

Algebra ->  Points-lines-and-rays -> SOLUTION: Find the value of each variable and the measure of each labeled angle: There are two lines that cross (like an X) The top is: (2x)degrees The left is: (4y)degrees The right is:      Log On


   



Question 341693: Find the value of each variable and the measure of each labeled angle:
There are two lines that cross (like an X)
The top is: (2x)degrees
The left is: (4y)degrees
The right is: (x + y + 10) degrees
I tried to solve for x or y, but couldn't.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The right and left angle equal each other.
The top and bottom angles equal each other.
The sum of all 4 angles equals 360.
4y=x%2By%2B10
1.-x%2B3y=10
.
.
.
2x%2B2x%2B4y%2B4y=360
4x%2B8y=360
2.x%2B2y=90
Add eq. 1 and eq. 2,
-x%2B3y%2Bx%2B2y=10%2B90
5y=100
highlight%28y=20%29
Then from eq. 1,
-x%2B60=10
-x=-50
highlight%28x=50%29