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What are corresponding alternate and interior angles? What are alternate interior angles and consecutive interior angles?

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Final answer:

Corresponding angles are in the same position relative to the transversal but on different parallel lines. Alternate interior angles are on opposite sides of the transversal and inside the two parallel lines. Consecutive interior angles are on the same side of the transversal and inside the two parallel lines.

Step-by-step explanation:

Corresponding, alternate, and interior angles are terms used to describe specific angles formed by a pair of parallel lines and a transversal (a line that intersects the parallel lines).

Corresponding angles are pairs of angles that are in the same position relative to the transversal, but on different parallel lines. For example, if line m is parallel to line n and a transversal intersects them, angle 1 and angle 5 are corresponding angles.

Alternate interior angles are pairs of angles that are on opposite sides of the transversal and inside the two parallel lines. For example, if line m is parallel to line n and a transversal intersects them, angle 3 and angle 6 are alternate interior angles.

Consecutive interior angles are pairs of angles that are on the same side of the transversal and inside the two parallel lines. For example, if line m is parallel to line n and a transversal intersects them, angle 3 and angle 5 are consecutive interior angles.

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