An angle of 180 degrees isn't really much of an angle in geometry. Technically speaking, it's possible, but with drawing a polygon, show me an enclosed shape with 10 angles of 180 degrees each

If you trust Wikipedia:

http://en.wikipedia.org/wiki/Convex_polygonIt says:

Convex = Angle < 180 degrees

Concave = Angle > 180 degrees

Angle = 180 degrees = straight line.

EDIT:

I think the best definition should be:

Convex = All Angles <= 180 degrees

Concave = All Angles >= 180 degrees

A circle is not a polygon but it "could" satisfy the definition of Covnex = Angle < 180 degrees. If you thought about each pixel on your monitor being a point on the circle as it is displayed, and measured the angles between them, there would technically not be an angle that measures 180 degrees.

But the midpoint of a side of a square does technically measure 180 degrees.

This is a point that doesn't really matter in the end for GMAT. Does a circle even have "angles"?

tarek99 wrote:

question guys. Does a convex polygon mean that each angle is less than 180 degrees or does it mean that each angle is less than or equal to 180 degrees?

thanks

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J Allen Morris

**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.

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