Given:
The diagram shows two intersecting lines making angles 1,2,3,4
Now,
We know, angles on a straight line sum to 180 degrees.
So, using this property, we have
[tex]\begin{gathered} m\angle1+m\angle2=180 \\ m\angle1+m\angle3=180 \\ m\angle3+m\angle4=180 \end{gathered}[/tex]
But angles 1 and 4 are vertically opposite angles so they are equal.
Hence,
[tex]m\angle1=m\angle4[/tex]
Hence,
[tex]m\angle1+m\angle4\ne180[/tex]
Therefore, option 1 is not true.
Option 1 is correct answer.
