Respuesta :
Answer:
[tex]AB\perp BC[/tex]Explanation: For two lines to be parallel , the angle connecting them has to be 180 Degrees likewise for the perpendicular case the angle connecting the line should be 90 degrees, Mathematically, this means:
[tex]\begin{gathered} \angle\text{ABC}=180^{\circ}\Rightarrow\text{ Parallel Case} \\ \angle\text{ABC}=90^{\circ}\Rightarrow\text{ Perpendicular case} \\ \end{gathered}[/tex]In this case, the angle between AB and BC is as follows:
[tex]\begin{gathered} \angle ABC=90^{\circ} \\ \end{gathered}[/tex]Therefore the answer is:
[tex]\begin{gathered} \text{ }AB\text{ and BC }\Rightarrow\text{ Perpendicular} \\ AB\perp BC \end{gathered}[/tex]