Help with a geometry problem?

Question

anonymous · Answer

I'll draw it now

anonymous · Answer

|dw:1373750047911:dw|
I need to find the value of Z

anonymous · Answer

What kind of triangle is this?

anonymous · Answer

It has a name when two angles are congruent the triangle is called a(n) ___________ triangle.

anonymous · Answer

Equilateral, right? I'm not sure it didn't say what triangle it is

anonymous · Answer

Close. It is not equilateral. If two angles are congruent then the sides opposite those angles are congruent and if two sides of a triangle are congruent we call this an i__________ triangle.

anonymous · Answer

isosceles

anonymous · Answer

So, what do I do now to find the value of Z?

anonymous · Answer

since you now know this is an isosceles triangle, the sides opposite those congruent angles are the same length....  ie, 2z-15 = 9

just solve for z in the above equaton.

anonymous · Answer

I got z=12,