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## Main Question or Discussion Point

I found this problem off of mathematics magazine and I want to give it a try solving it, but i'm lost for ideas.

The problem states the following: Let G be the centroid of triangle ABC. Prove that if angle BAC = 60 degrees and angle BGC = 120 degrees then the triange is equilateral.

My idea was to use the medians to find G and find the angles that way. I then quickly realized I assumed to many things, so now i'm asking for new outlooks on this problem. Perhaps i've been staring at it for far to long, but i'm stump. Any ideas?

The problem states the following: Let G be the centroid of triangle ABC. Prove that if angle BAC = 60 degrees and angle BGC = 120 degrees then the triange is equilateral.

My idea was to use the medians to find G and find the angles that way. I then quickly realized I assumed to many things, so now i'm asking for new outlooks on this problem. Perhaps i've been staring at it for far to long, but i'm stump. Any ideas?

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