Which of the following statements must be true about parallelogram ABCD? ANSWERS: A) AD ≅ BA B) ∠A+∠D = 180° C) AD || CD D) ∠B ≅ ∠C

Which of the following statements must be true about parallelogram ABCD ANSWERS A AD BA B AD 180 C AD CD D B C class=

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Answer:

AD || BC

Step-by-step explanation:

Option B : ∠A+∠D = 180°

Given below diagram is of a parallelogram.

A parallelogram is defined as a closed geometric figure that has got 4 straight sides and  opposite sides are parallel to each other.

One of the properties of a parallelogram is that its adjacent angles are supplementary.

Adjacent angles means angles which are either on the just left side or just right side.,

Supplementary angles are those which if added gives 180° as value.

Option A and D are not correct here.

Option C is wrong as adjacent sides of a parallelogram are never parallel.

Taking the angles ∠A and ∠D, we see they're adjacent. And since ABCD is a parallelogram, thus by its property, we've got ∠A+∠D = 180°.

Thus option B: ∠A+∠D = 180° is correct.

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