Question

Find the value of x and y.

• A. x=y = ${90}^{\circ }$
• B. x=${80}^{\circ }$ y = ${90}^{\circ }$
• C. x=${70}^{\circ }$ y = ${60}^{\circ }$
• D. x=${60}^{\circ }$ y = ${60}^{\circ }$

Answer 1

The correct option is A x=y = ${90}^{\circ }$

$\angle ABE=\angle CBD$ [Vertically opposite angles]

$\Rightarrow x={90}^{\circ }$

$\angle ABD=\angle EBC$ [Vertically opposite angles]

$\Rightarrow y={90}^{\circ }$

$\Rightarrow x=y={90}^{\circ }$