Final answer:
In a parallelogram, opposite angles are congruent. So, knowing m∠A allows us to determine that m∠C must be equal to 78.2°.
Step-by-step explanation:
Since ABCD is a parallelogram, opposite angles are congruent.
Therefore, m∠C is also 78.2°.
In a parallelogram, opposite angles are congruent. Therefore, if ∠A is 78.2°, then ∠C is also 78.2°.
If quadrilateral ABCD is a parallelogram, and m∠A is 78.2°, then the measure of m∠C is also 78.2°.
This is because opposite angles in a parallelogram are congruent, meaning they have the same measure.
So, knowing m∠A allows us to determine that m∠C must be equal to 78.2°.