Respuesta :

From the figure

[tex]\begin{gathered} \angle1+\angle2=180 \\ \angle3+\angle4=180 \end{gathered}[/tex]

Because they are linear angles

Then the first answer is right

[tex]m\angle1+m\angle2=m\angle3+m\angle4[/tex]

Since l is parallel to m, then

[tex]m\angle1+m\angle5=180[/tex]

Because they are interior supplementary angles

[tex]m\angle1+m\angle5=m\angle3+m\angle4[/tex]

Because both of them = 180

Then answer 2 is right

[tex]\begin{gathered} m\angle3+m\angle4=180 \\ m\angle4+m\angle7=180\text{ interior supplementary angles} \end{gathered}[/tex]

Then

[tex]m\angle3+m\angle4=m\angle4+m\angle7[/tex]

The last answer also is right

For answer 3

let us check it

[tex]m\angle1+m\angle6=m\angle4+m\angle6[/tex]

Since angle 6 is common in the two sides, then we can cancel it from both sides, then

[tex]m\angle1=m\angle4[/tex]

But no mention about that these two angles are equal, then we can not say they are equal

The wrong statement is answer 3