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There is officially no term for this, but they're supplementary angles if the two lines are parallel to one another.

Q: What is a interior angles that lie on the same side of a transversal between two lines?

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Angles on opposite sides of the transversal and between the parallel lines

a transversal line If a transversal intersects two parallel lines, then the alternate interior angles are congruent.

Alternate interior angles are equal on a transversal that passes through parallel lines.

Parallel lines cut by a transversal form congruent alternate interior angles.

Providing that the lines are parallel that the transversal passes through then it will have two equal alternate angles that are on opposite sides of the transversal.

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Alternate Interior Angles

Angles on opposite sides of the transversal and between the parallel lines

When 2 parallel lines are cut by a transversal some of the pairs of angles which are formed are called alternate angles whereas other pairs are called interior angles.

a transversal line If a transversal intersects two parallel lines, then the alternate interior angles are congruent.

Alternate interior angles are equal on a transversal that passes through parallel lines.

Parallel lines cut by a transversal form congruent alternate interior angles.

Two lines are crossed by one another line called the transversal. The pairs of angles on opposite sides of the transversal but inside the two lines are called alternative interior angles.

a transversal line If a transversal intersects two parallel lines, then the alternate interior angles are congruent.

Providing that the lines are parallel that the transversal passes through then it will have two equal alternate angles that are on opposite sides of the transversal.

Those are "alternate interior" angles. They're always equal.

Alternate Exterior Angles :)

The lines are parallel. The only time you will see correpsonding, alternate interior, and alternate exterior angles is with a parallel transversal line.