Question

Write a two-column proof for the following conjuncture. 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 parallelogram ABCD
(Given 7 Columns on Assignment)

Prove: angle A and angle B are supplementary
Angle B and angle C are supplementary.​

Answer 1

Answer:

Statement:                         Reason:

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1. line DA = line CB                   1. It is a parallelogram (two sets of parallel lines)

  line DC = line AB

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2. m<b + m<c = 180 degrees    2. Same side Interior Angles Theorem

   m<d + m<a = 180 degrees.      (If two parallel lines are cut by a transversal,

                                                      then the same side interior angles are

                                                      supplementary.)