Questions: Select the correct answer from each drop-down menu. Points A, B, and C form a triangle. Complete the statements to prove that the sum of the interior angles of triangle ABC is 180 degrees. - Statement Reason - Points A, B, and C form a triangle. given - Let line DE be a line passing through B and parallel to line AC definition of parallel lines - angle 3 is congruent to angle 5 and angle 1 is congruent to angle 4 - m angle 1 = m angle 4 and m angle 3 = m angle 5 - m angle 4 + m angle 2 + m angle 5 = 180 degrees angle addition and definition of a straight line - m angle 1 + m angle 2 + m angle 3 = 180 degrees substitution

Transcript text: Select the correct answer from each drop-down menu. Points $A, B$, and $C$ form a triangle. Complete the statements to prove that the sum of the interior angles of $\triangle A B C$ is $180^{\circ}$. \begin{tabular}{|l|l|} \hline Statement & Reason \\ \hline Points $A, B$, and $C$ form a triangle. & given \\ \hline Let $\overline{D E}$ be a line passing through $B$ and parallel to $\overline{A C}$ & definition of parallel lines \\ \hline$\angle 3 \cong \angle 5$ and $\angle 1 \cong \angle 4$ & \\ \hline $\mathrm{~m} \angle 1=\mathrm{m} \angle 4$ and $\mathrm{m} \angle 3=\mathrm{m} \angle 5$ & \\ \hline $\mathrm{~m} \angle 4+\mathrm{m} \angle 2+\mathrm{m} \angle 5=180^{\circ}$ & angle addition and definition of a straight line \\ \hline $\mathrm{m} \angle 1+\mathrm{m} \angle 2+\mathrm{m} \angle 3=180^{\circ}$ & substitution \\ \hline \end{tabular}