# How Many Angles in an Angle?

[1)

I'm wondering if there are two angles in an 'angle.'

For example, the image below would typically be identified as a right angle.

But couldn't you also say that it's a right angle and a 270-degree reflex angle? There are two angles?

http://tinyurl.com/4fs85kg

[2)

Or-- An equiangular triangle is defined (?) as a triangle with three 60-degree angles.

But couldn't you also say that an equiangular triangle has three 300-degree reflex angles? Six angles?

[3)

Would the rays that form an angle be considered straight angles?

If so: Since a ray consists of infinitely many points.

And since any two points form a line segment.

And since a line segment can be considered a straight angle.

Does it follow that an angle consists of infinitely many angles?

-

You could also say it's a 90+360 = 450 degree angle, or any number $90+360n$ where n is a natural number. The point is, we say that it's 90 degrees clockwise or 270 mostly by convention, but yes, "an angle consists of infinitely many angles" is true.