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## Homework Statement

Let ABC be a triangle in which angle A = 60

^{0}. Let BE and CF be the bisectors of the angles B and C, with E on AC and F on AB. Let M be the reflection of A in the line EF. Prove that M lies on BC.

http://img135.imageshack.us/img135/606/sumu.png

## The Attempt at a Solution

I didnt really get this problem...i was led to make assumptions and then solve, but that is wrong, i believe.

So can you please help me out?

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