Final answer:
Opposite angles of a parallelogram are congruent due to the properties of parallel lines and transversals, making them equal in measure.
Explanation:
Opposite angles of a parallelogram are congruent due to the properties of parallel lines and transversals. When a pair of parallel lines is intersected by a transversal, alternate interior angles are congruent. In the context of a parallelogram, this means that opposite angles are congruent.
To visualize this, consider a parallelogram ABCD where AB is parallel to CD and AD is parallel to BC. Angle A is congruent to angle C, and angle B is congruent to angle D, making opposite angles congruent.
Therefore, based on the geometric properties of parallelograms and parallel lines, it can be concluded that opposite angles of a parallelogram are congruent.
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