An angle is formed when two rays begin at a common point. The common point is called the vertex of the angle.
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angle
if the rays have no common points, the answer is zero. if the rays all have the same end point, the answer is 21 -- counting only the acute angles.
An angle is formed by two rays with the same endpoint. If the two rays are perpendicular to one another, they form a right angle.
Angle
angle