Question

Create a two column proof Given angle

Answer 1

$\begin{gathered} \angle\text{QRS and }\angle\text{PSR are supplementary};\; \; \; \text{Given} \\ m\angle\text{QRS}+\angle m\text{PSR}=180\degree;\text{ Supplementary Angle Theorem} \\ m\angle\text{PSR}=180\degree-m\angle\text{QRS};\; \; \; \text{Addition property of equality} \\ m\angle\text{QRS}+m\angle\text{QRL}=180\degree;\; \; \text{Linear Pair Angle Theorem} \\ m\angle\text{QRL}=180\degree-m\angle\text{QRS; Addition property of equality} \\ m\angle\text{QRL}=m\angle\text{PSR; transitive property} \\ \angle\text{QRL}\cong\angle\text{PSR; Congruent Angle Theorem} \end{gathered}$