Question

Find the measure of x, if ZY || WX in the following figure.

• A. ${112}^{\circ }$
• B. ${56}^{\circ }$
• C. ${68}^{\circ }$
• D. ${106}^{\circ }$

Answer 1

The correct option is A ${112}^{\circ }$

Given: XW || YZ
$\Rightarrow \angle YWX=\angle ZYW={28}^{\circ }$
[$\because$ Alternate angles are equal]

In $△WOX$,
By angle sum property,
$\angle OWX+\angle WXO+\angle XOW={180}^{\circ }$
$\Rightarrow x={180}^{\circ }-({40}^{\circ }+{28}^{\circ })$
$\Rightarrow x={180}^{\circ }-{68}^{\circ }={112}^{\circ }$