I NEED HELP REALLY QUICKLY PLEASE 1. 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: and are supplementary.
and are supplementary.

      Statement                                                    Reason

1. Parallelogram ABCD                                      1. Given

2. Side AD is parallel to side BC                      2. Definition of a parallelogram

3. Side AB is a transversal of AD and BC        3. Definition of a transversal

4. ∠A and ∠B are same side interior angles   4. Definition of SSIA

5. ∠A and ∠B are supplementary                    5. SSIA between parallel lines

6. Side CD is a transversal of AD and BC        6. Definition of a transversal

7. ∠C and ∠D are same side interior angles   7. Definition of SSIA

8. ∠C and ∠D are supplementary                    8. Same Side Interior Angles,

                                                                              SSIA, theorem

Step-by-step explanation:

Given that the quadrilateral ABCD is a parallelogram, we have;

Side AD is parallel to side BC, and side AB is a common transversal to AD and BC

∠A and ∠B are same side interior angles, SSIA, formed between parallel lines, therefore, according to Same Side Interior Angles theorem, we have;

∠A and ∠B are supplementary angles and therefore, ∠A + ∠B = 180°

Similarly, the angles ∠C and ∠D formed by the transversal CD and the parallel sides AD and BC are same side interior angles

∴ ∠C and ∠D are supplementary angles and ∠∠C + ∠D = 180°

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step-by-step explanation:

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