Question

If AB and CD are parallel lines, what is the value of $x$ in the given figure?

Answer 1

Since the lines AB and CD are parallel, $\angle$AEF and $\angle$DFE form alternate interior angles.

$\because$ Alternate interior angles are equal.

$\therefore x+{45}^{\circ }={68}^{\circ }$

$\Rightarrow x={68}^{\circ }-{45}^{\circ }$

$\Rightarrow x={23}^{\circ }$

Hence, the value of $x$ is $23$.