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## Homework Statement

[PLAIN]http://img831.imageshack.us/img831/2589/88722757.jpg [Broken]

Using only the fact that the sum of the interior angles of a triangle is 180, how would I show that a = a* and b = b*?

## Homework Equations

## The Attempt at a Solution

In my diagram, there are 2 triangles: ABC and A*B*C

a + b + c = 180 and a* + b* + c =180 (a,b,a*,b,c are angles)

since both equations equal to 180, I equate them to each other and subtract angle c from both sides to get:

a + b = a* + b*.

I'm stuck here. I proved that their sum is the same, but not the angles. Do you have any suggestions?

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