# Proofing A Geometric Statement

1. Sep 8, 2013

### 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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2. Sep 8, 2013

### Enigman

Well, the sum of angles in a triangle.

3. Sep 8, 2013

### Bashyboy

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

4. Sep 8, 2013

### SteamKing

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

5. Sep 8, 2013

### 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?

6. Sep 8, 2013

### SteamKing

Staff Emeritus
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.

7. Sep 8, 2013

### Ray Vickson

What material have you studied so far? All the properties you need are standard, elementary geometry (but, unfortunately, sometimes that is not taught any more).