Question

In the given figure $E\parallel F$. Find the value of $x$.

• A. ${72}^{\circ }$
• B. ${112}^{\circ }$
• C. ${62}^{\circ }$
• D. ${118}^{\circ }$

Answer 1

The correct option is C ${62}^{\circ }$

Given: E and F are parallel lines being cut by a transversal.
Hence $x$ and ${118}^{\circ }$ form Exterior Allied angles. Exterior Allied Angles are supplementary.
Hence,
$x+{118}^{\circ }={180}^{\circ }$
$x={180}^{\circ }-{118}^{\circ }$
$x={62}^{\circ }$