Question

In the figure, if lines l and m are parallel, then the value of x is

Answer 1

In the figure, l||m and PQ is the transversal

$\angle 1={90}^0$
In $\Delta$ EFG,
Ext. $\angle G=\angle E+\angle F$
$\Rightarrow {125}^0=x+\angle x+{90}^0$
$\Rightarrow x={125}^0-{90}^0={35}^0$