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).
