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No and yes.

No, because parallel rays (if they don't share a common vertex) will never intersect and will never form any angles.

Yes, because if they do have a common vertex, they would form a straight angle of 180°.

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No, they(the lines) cannot touch each other?

Q: Can parallel ray's form an angle?

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Nope. Parallel rays never meet- and so cannot form an angle.

Will Any two rays form an angle?

Two intersecting rays form an angle. Without two rays you do not have an angle.

For two parallel line segments or rays to form an angle, they would either need to coincide with each other, forming a 0° or 360° angle, or they would need to be extending in opposite directions from their shared point, forming a 180° angle.

Two lines but they can't be parallel. It would be better to say two rays that share the same endpoint form an angle. However, two intersecting lines form angles also. Two rays can form a 180 degree angle if they share the same endpoint and point in exactly the opposite directions. Two perpendicular lines can form a right or 90 degree angle.

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NO

Nope. Parallel rays never meet- and so cannot form an angle.

Parallel rays are reflected by a mirror such that they remain parallel after reflection. This is due to the law of reflection, which states that the angle of incidence is equal to the angle of reflection.

False. They might be parallel, for example

Will Any two rays form an angle?

Two intersecting rays form an angle. Without two rays you do not have an angle.

For two parallel line segments or rays to form an angle, they would either need to coincide with each other, forming a 0° or 360° angle, or they would need to be extending in opposite directions from their shared point, forming a 180° angle.

Two rays that share an endpoint form an angle.

Two lines but they can't be parallel. It would be better to say two rays that share the same endpoint form an angle. However, two intersecting lines form angles also. Two rays can form a 180 degree angle if they share the same endpoint and point in exactly the opposite directions. Two perpendicular lines can form a right or 90 degree angle.

Yes, but only if they are coplanar and not parallel.

no, its in the definition of parallel lines. they never touch and therefore can never form an angle.

the vertex is the point where two rays begin and form and angle