Answer
\begin{array}{c|ll}& \textbf{Statement} & \textbf{Reasons}
\\\hline1 & \angle1\text{ and }\angle2\text{ are supplementary} & \text{Given}
\\2 & m\angle1+m\angle2=180 & \text{Definition of Supplementary}
\\3 & \angle1\cong\angle2 & \text{Vertical Angles Theorem}
\\4 & m\angle1=m\angle2 & \text{Definition of Congruency}
\\5 & m\angle1+m\angle1=180 & \text{Substitution}
\\6 & 2m\angle1=180 & \text{Combine Like Terms}
\\7 & m\angle1=90 & \text{Division Property of Equality}
\\8 & m\angle2=90 & \text{Substitution}
\\9 & \angle1\text{ and }\angle2\text{ are right angles} & \text{Definition of Right Angle}
\end{array}
Work Step by Step
Use the given information, known definitions, postulates, and proven theorems to write a proof.
