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Complete the proof that opposite angles of a parallelogram are congruent given m ll n k ll l?

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Final answer:

Opposite angles of a parallelogram are congruent when the lines forming the parallelogram are parallel.

Step-by-step explanation:

In order to prove that opposite angles of a parallelogram are congruent, we need to show that the alternate interior angles formed by the transversal lines m and n are congruent.

Given that m || n (line m is parallel to line n) and l || k (line l is parallel to line k), we know that the alternate interior angles are congruent.

Therefore, opposite angles of a parallelogram are congruent.

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