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# Proofs! (It has a number 6 and 7 I just couldn't fit it in the picture.

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(It has a number 6 and seven also, I just couldnt fit them in the picture. Both of them are blank on the reason and statement.)

SamJones  Nov 19, 2017
edited by SamJones  Nov 22, 2017

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 Statements Reasons 1. Parallelogram ABCD Given 2. $$\overline{AD}\parallel\overline{BC}$$ $$\overline{AB}\parallel\overline{CD}$$ Definition of a Parallelogram 3. $$m\angle B+m\angle A=180^{\circ}$$ $$m\angle B+m\angle C=180^{\circ}$$ Same-Side Interior Angles Theorem $$\angle A\quad\text{and}\quad\angle B\quad\text{are supplementary.}$$$$\angle B\quad\text{and}\quad\angle C\quad\text{are supplementary.}$$ Definition of supplementary angles.
TheXSquaredFactor  Nov 19, 2017
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 Statements Reasons 1. Parallelogram ABCD Given 2. $$\overline{AD}\parallel\overline{BC}$$ $$\overline{AB}\parallel\overline{CD}$$ Definition of a Parallelogram 3. $$m\angle B+m\angle A=180^{\circ}$$ $$m\angle B+m\angle C=180^{\circ}$$ Same-Side Interior Angles Theorem $$\angle A\quad\text{and}\quad\angle B\quad\text{are supplementary.}$$$$\angle B\quad\text{and}\quad\angle C\quad\text{are supplementary.}$$ Definition of supplementary angles.