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: (y plus x)degrees The left is: 2x degrees The righ

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Question 162629: 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: (y plus x)degrees
The left is: 2x degrees
The right is: (y-x) degrees
I don't know how i'm supposed to solve with two variables
Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!

I think this is what you mean??
OK, when you look at the pairs of angles, you have two types of angles:linear pairs and vertical angles.
Linear pairs sum to 180 degrees.
Vertical angles are congruent (same measure).
In your diagram, the linear pairs are:
and
and
The vertical angles are :
and
So let's build equations using this information.
1.
1.
.
.
.
2.
2.
2.
.
.
.
3.
3.
.
.
.
Since eq. 2 solved for y, you can use either 1 or 3 to solve for x. You could also add eq. 1 and eq. 3,

.
.
.
So the three angles, given clockwise, are 60 degrees(2x), 120 degrees(y+x), and 60 degrees(y-x).