If quadrilateral abcd is parallelogram and m∠a is 78.2°, what is the measure of ∠c?

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asked Oct 19, 2024 170k views

2 Answers

Claydiffrient · Answer 1 · 2024-10-22T03:52:52+0000

In a parallelogram, opposite angles are congruent.

In a parallelogram, opposite angles are congruent. So if angle ∠a is 78.2°, then angle ∠c, which is opposite to angle ∠a, will also be 78.2°.

Matthew Pelser · Answer 2 · 2024-10-24T05:08:48+0000

In a parallelogram, opposite angles are congruent. So, knowing m∠A allows us to determine that m∠C must be equal to 78.2°.

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°.