An angle is formed where two lines meet. Parallel lines do not meet. Therefore they do not form an angle. So there is no angle to have a name. So no name.
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Skew lines, parallel lines or an angle.
Yes and they are between two parallel lines.
Angles are formed when two lines intersect (depends on the way the lines intersect to determine what kind of angles they are). Since parallel lines do not intersect each other at all, there is no angle between them.
A right angle has no parallel lines, but it does have perpendicular lines that meet at right angles.
No, parallel lines do not meet at a right angle. In theory, parallel lines never meet. In practice, parallel lines on earth could meet at the North Pole and/or the South Pole. Perpendicular lines meet at a right angle.