What are two congruent angle relationships that depend on parallel lines cut by a transversal"

acute angle and obtuse angle

Step-by-step explanation:

Parallel lines are lines that do not meet each other. When two parallel lines cut by a transversal(a line which transverse or intersect any system of other lines transversely), then we have four acute and obtuse angles.

All the acute angles and the obtuse angles are congruent angles ( i.e. coinciding exactly when being superimposed) and all the acute angles and obtuse angles are supplementary angles to each other. The congruent angles when the two parallel lines get cut by a transversal are known as alternate interior angles.

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