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irga5000 [103]
2 years ago
6

Is ABCD a parallelogram?

Mathematics
1 answer:
spayn [35]2 years ago
7 0

Answer:

Yes

Step-by-step explanation:

We know that because AB and CD are parallel,

  • angles A and D are supplementary
  • angles B and C are supplementary

As supplements of congruent angles are congruent, this means angle B is congruent to angle C.

Thus, ABCD is a parallelogram because it is a quadrilateral with 2 pairs of opposite congruent angles.

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