Question

In the figure a pair of parallel lines are cut by a tranveresal. The value of x and y respectively are ___.

• A. ${130}^{\circ },{50}^{\circ }$
• B. ${50}^{\circ },{130}^{\circ }$
• C. ${140}^{\circ },{40}^{\circ }$
• D. ${40}^{\circ },{140}^{\circ }$

Answer 1

The correct option is B

${50}^{\circ },{130}^{\circ }$

$\angle y={130}^{\circ }$ ........(vertically opposite angles are equal)

$\angle x+{130}^{\circ }={180}^{\circ }$ .........(Co-interior angles are supplementary)

$\Rightarrow \angle x={180}^{\circ }-{130}^{\circ }$

$\angle x={50}^{\circ }$