A right angle is an angle whose measure is exactly 90 degrees. Continuing around the circle, next is the obtuse angle. An obtuse angle is an angle whose measure is in between 90 and 180 degrees. The last major kind of angle is the straight angle. A straight angle is an angle that measures exactly 180 degrees. Thus the name - the two rays form a straight line. A negative angle is also possible. This just means that you go clockwise instead of counterclockwise.
SOURCE: http://library.thinkquest.org/2647/geometry/angle/measure.htm
that website also has lots of more information on angles!
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Acute angles measure greater than 0 degrees and less than 90 degrees. Obtuse angles measure greater than 90 degrees and less than 180 degrees.
Acute angles are ones which measure less than 90 degrees.
An acute triangle is one in which all interior angles are less than 90 degrees.
An angle less than a right angle is considered an acute angle. Acute angles are defined as angles that measure greater than 0 degrees and less than 90 degrees. Therefore, there are an infinite number of angles that are less than a right angle, as any angle between 0 and 90 degrees (exclusive) would fall into this category.
A reflex angle is one whose measure is greater than 180 degrees but less than 360 degrees. Vertical angles can be reflexive.