Question

In the figure 1.86 if $\angle$y = 70$°$ and $\angle$x = 71$°$ state with reason whether the line m || line n. Justify.

Answer 1

$\mathrm{Given}:\angle y=70°\mathrm{and}\angle x=71°$

$$\begin{gathered} \mathrm{We}\mathrm{can}\mathrm{observe}\mathrm{that}\angle x\ne \angle y \\ \mathrm{Even}\mathrm{if}\mathrm{they}\mathrm{form}\mathrm{a}\mathrm{pair}\mathrm{of}\mathrm{corresponding}\mathrm{angles},\mathrm{they}\mathrm{are}\mathrm{not}\mathrm{equal}. \\ \therefore \mathrm{Line}m\nparallel \mathrm{line}n \end{gathered}$$