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Q: What are angles that are in the same position on two lines in relation to the transversal called?

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corresponding angles

They are equal corresponding angles.

A transversal

When two lines are crossed by another line (called the Transversal): The angles in matching corners are called Corresponding Angles.

More info needed. Are the 2 lines parallel, perpendicular, or? are the angles that you are interested in on opposite sides of the intersecting line or the same side. The intersecting line is called a transversal. If the original lines are parallel, angles between the 2 lines on opposite sides of the transversal are called alternate interior angles, etc.

Related questions

I think it is when there are 2 parallel lines, then the lines which cut both is called transversal.so, the angles which are between one side of the transversal and a parallel line must be called a transversal angles.

corresponding angles

Alternate Interior Angles

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.

Those angles are called Alternate Exterior Angles. When two lines are crossed by another line (which is called the Transversal), the pairs of angles on opposite sides of the transversal but outside the two lines are called Alternate Exterior Angles.

The angles that share a vertex and a side of a transversal but no interior points are called vertical angles. Vertical angles are formed when two lines intersect, and they are always congruent.

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.

They are equal corresponding angles.

A transversal

When two lines are crossed by another line (called the Transversal): The angles in matching corners are called Corresponding Angles.

pairs of angles on one side of the transversal but outside the two lines are called consecutive exterior angles .

Providing that the two lines are parallel then they are called corresponding angles.