A noncollinear ray is a ray that is not a straight line. So even two of these could criss-cross infinitely many times. It is impossible, therefore, to answer the question.
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Six angles.
An angle is the figure formed by two rays sharing a common endpoint, called the vertex of the angle.
An angle is formed by two rays with a common endpoint.
An angle is formed by a point on the end and two rays
There is 1 angle between each pair of rays. So 30 rays equals 30 angles. But, if the angles are likened to the spokes of a bicycle wheel, should the 30 rays not completely fill the circumference of the wheel, the 2 outer rays also form an angle. So the possible total is 31 angles.