Question

In the adjoining figure it is given that $l\left|\right|m$; t is a transversal ; then the value of x is

• A. ${130}^{\circ }$
• B. ${50}^{\circ }$
• C. ${120}^{\circ }$
• D. None

Answer 1

The correct option is A ${130}^{\circ }$

$\angle 1+\angle 2={180}^{\circ }$ (Adjacent angles on a straight line are supplementary)

$\Rightarrow {50}^{\circ }+\angle 2={180}^{\circ }\Rightarrow \angle 2={180}^{\circ }-{50}^{\circ }\Rightarrow \angle 2={30}^{\circ }$

Now $l||m$ and $t$ is transversal

$\therefore \angle x=\angle 2$ (Alternate angles)

$\Rightarrow \angle x={130}^{\circ }$