Gaura S.
asked • 11/10/20Semester Question for Geometry, please help me
Write a two-column proof for the following conjecture. You may not need to use all of the rows of the two-column table provided below. You may also add additional rows if needed.
Given:
Prove: angle A and angle B are supplementary.
angle B and angle C are supplementary.
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1 Expert Answer
Contrapositive of the parallel postulate tells you that when parallel lines are cut by a transversal, the sum of the interior angles is a straight angle.
That is ALL you need to answer both questions.
Gaura S.
So what I have is this; the reasons are in all caps: WE ARE GIVEN parallelogram ABCD, BECAUSE OPPOSITE SIDES OF PARALLELOGRAMS ARE PARALLEL BY DEFINITION OF A PARALLELOGRAM, line DA is parallel to line CB and line DC is parallel to line AB, so then by the CONTRAPOSITIVE OF THE PARALLEL POSTULATE, angle A + angle B equals 180° and angle B + angle C equals 180°, and finally by the DEFINITION OF SUPPLEMENTARY ANGLES, angle A and B are supplementary and angle B and C are supplementary Is this ok?
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11/12/20
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Tom K.
Is it given that ABCD is a parallelogram? If so, you rely on the corresponding angles postulate.11/10/20