# Proofing A Geometric Statement

Bashyboy
I've attached a picture that pertains to the query that I have. I have been able to show that each angle B is 60 degrees, but I am unsure as to how to show a is also a 60 degree angle. Isn't there some geometric theorem I could use?

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Enigman
Well, the sum of angles in a triangle.

Bashyboy
Well, I am first trying to prove that each object in the hexagon is a triangle. So, I can't use that fact.

Staff Emeritus
Homework Helper
If the figure is closed and it's got three sides, it's a triangle. There's your proof.

Bashyboy
All right, so I know that each angle is equivalent to each other, when you consider one single triangle. Is this sufficient to show that it must be a equilateral triangle, or must I also so that each side has the same length?

Staff Emeritus
Homework Helper
If you know that two interior angles of a triangle are both 60 degrees, then you can determine the third angle.

If all interior angles are the same, IPSO FATSO, it's an equilateral triangle.