State a true conclusion. 1) All rabbits like lettuce. 2) My pet is a rabbit. Conclusion:

Mathematics

2 answers:

mojhsa [17]4 years ago

8 0

I think it would be: "My pet rabbit likes lettuce."

il63 [147K]3 years ago

5 0

I believe it would be 2) my pet is a rabbit.

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By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.

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By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are same-side interior angles. Because AB and DC are parallel, the same-side interior angles must be supplementary by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.