Question

In Fig., AB || CD. Find the values of x, y, z.

Answer 1

$\angle x+125°=180°$ (Linear pair)
$\therefore \angle x=180°-125°=55°$

$\angle z=125°$ (Corresponding angles)
$\angle x+\angle z=180°$ (Sum of adjacent interior angles is $180°$)
$$\begin{gathered} \angle x+125°=180° \\ \Rightarrow \angle x=180°-125°=55° \end{gathered}$$

$\angle x+\angle y=180°$ (Sum of adjacent interior angles is $180°$)
$$\begin{gathered} 55°+\angle y=180° \\ \Rightarrow \angle y=180°-55°=125° \end{gathered}$$