Question

In Fig., l, m and n are parallel lines intersected by transversal p at X, Y and Z respectively. Find ∠1, ∠2 and ∠3.

Answer 1

In the given figure, l || m || n and p is a transversal line.
Thus, we have:
$$\begin{gathered} \angle 4+60°=180°\left(\mathrm{Linear}\mathrm{pair}\right) \\ \Rightarrow \angle 4=180°-60°=120° \\ \angle 4=\angle 1=120°\left(\mathrm{Corresponding}\mathrm{angles}\right) \\ \angle 1=\angle 2=120°\left(\mathrm{Corresponding}\mathrm{angles}\right) \\ \angle 3=\angle 2=120°\left(\mathrm{Vertically}\mathrm{opposite}\mathrm{angles}\right) \\ \mathrm{Thus}, \\ \angle 1=\angle 2=\angle 3=120° \end{gathered}$$