CERTAIN ANSWERS ONLY!!! There should 4 answers, thank you in advance. It may be a bit difficult sorry. Thank you :)

Question

asked Jul 24, 2021 41.1k views

2 Answers

PaperTsar · Answer 1 · 2021-07-28T10:38:28+0000

Answer:

See Below.

Explanation:

We are given that ∠1 and ∠7 are supplementary.

And we would like to prove that a is parallel to b.

Statements: Reasons:

$\textbf{\textsf{1. $\angle 1$ and $\angle 7$ are supplementary}}$ Given

$\textsf{2. $m\angle3$ + $m\angle 7$ $= 180$}$ Supplementary Angles

$\textsf{3. $\angle3$ and $\angle7$ are supplementary}$ Definition of Supplementary

$\textsf{4. }\bf{\angle 1 \cong \angle3}$ Congruent Supplements Theorem

$\textsf{5. }a\parallel b$ Corresponding Angles Converse

And we are done!