An angle is formed by two rays sharing a common endpoint called the vertex. There are five types of angles: acute angles less than 90 degrees, right angles equal to 90 degrees, obtuse angles greater than 90 but less than 180 degrees, straight angles equal to 180 degrees, and reflex angles greater than 180 degrees. The parts of an angle are the vertex, which is the corner point where the two arms meet, and the two arms, which are the straight sides that form the angle between them.