Consider the figure below.
Given: $ \begin{array}{ll}l_{1} \| l_{2} \ & \angle 4 \cong \angle 13\end{array} $
Prove: $ t_{1} \| t_{2} $
Complete the following chart.
\begin{tabular}{l|l|}
Statements & Reasons \
\hline
\end{tabular}
1. $ l_{1} \| l_{2} $ and $ \angle 4 \cong \angle 13 $
1. Given
2. $ \angle 4 $ and $ \angle 6 $ are supp 3. $ m \angle 4+m \angle 6=180 $
2. Consecutive Interior Angle
4. $ m \angle 4 \cong m \angle 13 $
3. Definition of Supplementary
5. $ m \angle 6+\angle 13=180 $
4. Definition of congruent angles
6. $ \angle 6 $ and $ \angle 13 $ are
5. Substitution Property
supplementary.
6. Definition of Supplementary
7. $ t_{1} \| t_{2} $
$ 7 . $
Which of the following is the reason for statement #7 in the table above?

Question

Consider the figure below.
Given: $ \begin{array}{ll}l_{1} \| l_{2} \ & \angle 4 \cong \angle 13\end{array} $
Prove: $ t_{1} \| t_{2} $
Complete the following chart.
\begin{tabular}{l|l|} 
Statements & Reasons \
\hline
\end{tabular}
1. $ l_{1} \| l_{2} $ and $ \angle 4 \cong \angle 13 $
1. Given
2. $ \angle 4 $ and $ \angle 6 $ are supp 3. $ m \angle 4+m \angle 6=180 $
2. Consecutive Interior Angle
4. $ m \angle 4 \cong m \angle 13 $
3. Definition of Supplementary
5. $ m \angle 6+\angle 13=180 $
4. Definition of congruent angles
6. $ \angle 6 $ and $ \angle 13 $ are
5. Substitution Property
supplementary.
6. Definition of Supplementary
7. $ t_{1} \| t_{2} $
$ 7 . $
Which of the following is the reason for statement #7 in the table above?

Accepted Answer

AIR MATH

Math Question

Solution

AIR MATH homework app,
absolutely FOR FREE!

Math Question

Solution

AIR MATH homework app,absolutely FOR FREE!

AIR MATH homework app,
absolutely FOR FREE!