Question

In Fig., lines l₁ and l₂ intersect at O, forming angles as shown in the figure. If x = 45°, find the values of y, z and u.

Answer 1

$$\begin{gathered} \angle z=\angle x=45°\left(\mathrm{Vertically}\mathrm{opposite}\mathrm{angles}\right) \\ \mathrm{Now}, \\ \angle x+\angle y=180°\left(\mathrm{Linear}\mathrm{pair}\right) \\ \Rightarrow \angle y=180°-45°=135° \\ \angle u=\angle y=135°\left(\mathrm{Vertically}\mathrm{opposite}\mathrm{angles}\right) \end{gathered}$$