Question

In the figure $l||m,n||p$ and $\angle 1={85}^{\circ }$, then $\angle 2$ is equal to.

• A. ${45}^{\circ }$
• B. ${66}^{\circ }$
• C. ${40}^{\circ }$
• D. ${95}^{\circ }$

Answer 1

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

$n||p$ therefore $\angle 1=\angle 3={85}^{\circ }$ (corresponding angles)
$\angle 2+\angle 3={180}^{\circ }$ (consecutive interior angles as m || l)
Then $\angle 2={95}^{\circ }$