Question

In Fig., if l || m || n and ∠1 = 60°, find ∠2.

Answer 1

In the given figure, l || m || n and ∠1 = 60°.
Thus, we have:
$$\begin{gathered} \angle 3=\angle 1=60°\left(\mathrm{Corresponding}\mathrm{angle}\right) \\ \mathrm{Now}, \\ \angle 3+\angle 4=180°\left(\mathrm{Linear}\mathrm{pair}\right) \\ \angle 4=180°-\angle 3=180°-60°=120° \\ \angle 2=\angle 4=120°\left(\mathrm{Alternate}\mathrm{interior}\mathrm{angles}\right) \end{gathered}$$