Question

In figure if $l\parallel m,n\parallel p$, and $\angle 1={85}^{\circ }$, the $\angle 2$ is

• A. ${85}^{\circ }$
• B. ${95}^{\circ }$
• C. ${180}^{\circ }$
• D. ${75}^{\circ }$

Answer 1

The correct option is B ${95}^{\circ }$

$\because n\parallel p$ and $m$ is the transversal
$\therefore \angle 1=\angle 3={85}^{\circ }$ (Corresponding angles)
Also, $m\parallel l$ and $p$ is the transversal
$\therefore \angle 2+\angle 3={180}^{\circ }$ (Consecutive interior angle)
$\Rightarrow \angle 2+{85}^{\circ }={180}^{\circ }$
$\Rightarrow \angle 2={180}^{\circ }-{85}^{\circ }$
$\Rightarrow \angle 2={95}^{\circ }$