Question

In the figure, if l||m, n || p and $\angle 1={85}^0$ find $\angle 2$.

Answer 1

In the figure, l || m,n || p and $\angle 1={85}^0$
$\because n||p$
$\therefore \angle 1=\angle 3$ (Corresponding angles)
But $\angle 1={85}^0$
$\therefore \angle 3={85}^0$
$\because m||l$
$\therefore \angle 3+\angle 2={180}^0$
(Sum of co-interior angles)
$\Rightarrow {85}^0+\angle 2={180}^0$
$\Rightarrow \angle 2={180}^0-{85}^0-{95}^0$