Respuesta :

Answer:

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Step-by-step explanation:

When proving that the opposite angles of a parallelogram are congruent, you typically use properties of parallel lines and angles. The following are necessary:

1. Corresponding angles: Opposite angles of a parallelogram are formed by a pair of parallel lines being intersected by a transversal. Corresponding angles formed in this scenario are congruent.

2. Consecutive interior angles: Since the opposite sides of a parallelogram are parallel, the consecutive interior angles formed by a transversal cutting through parallel lines are supplementary. Therefore, if one pair of opposite angles are congruent, the other pair must also be congruent.

Using these properties, you can prove that the opposite angles of a parallelogram are congruent.