SOLUTION: Can someone tell me if I've got the correct answers? If not, how do I find the correct ones? Question: Based on the diagram, solve for x, y, and z. The diagram can be found here:

Algebra ->  Triangles -> SOLUTION: Can someone tell me if I've got the correct answers? If not, how do I find the correct ones? Question: Based on the diagram, solve for x, y, and z. The diagram can be found here:       Log On


   

Question 890064: Can someone tell me if I've got the correct answers? If not, how do I find the correct ones? Question: Based on the diagram, solve for x, y, and z. The diagram can be found here: http://i.imgur.com/jLx9hGI.jpg
My answers were x=60, y=45, and z=105
Thanks for the help!
Found 2 solutions by edjones, josgarithmetic:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
x=60 Equilateral triangle.
y=180-30-(180-x)=30
z=180-60-y=90
.
Ed

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
List everything that you can understand about that figure:

x=y+30; x+y+z=180; 30=y;
Do you understand the reasons for those?
Exterior angle of a triangle...; three supplementary angles; two equal sides & angles, isosceles triangle. Note the way some segments are designated for congruency.

Those three equations are enough to solve for each variable without complications.