Question

In the given parallelogram ABCD, find the value of $x$ and $y.$

• A. $x=4^{\circ },y=4^{\circ }$
• B. $x=3^{\circ },y=4^{\circ }$
• C. $x=4^{\circ },y=3^{\circ }$
• D. $x=5^{\circ },y=5^{\circ }$

Answer 1

The correct option is A $x=4^{\circ },y=4^{\circ }$

In the given parallelogram ABCD,

$\angle DBC=\angle ADB$ (Alternate angles)
$\Rightarrow 8y={32}^{\circ }$
$\Rightarrow y=4^{\circ }$
Similarly,
$\angle ABD=\angle BDC$ (Alternate angles)
$\Rightarrow 14x={56}^{\circ }$
$\Rightarrow x=4^{\circ }$