Question

In the given figure, AB || CD then the value of x is
​

• A. ${235}^{\circ }$
• B. ${285}^{\circ }$
• C. ${75}^{\circ }$
• D. ${220}^{\circ }$

Answer 1

The correct option is B

${285}^{\circ }$

$\angle 1={45}^{\circ }$ [Alternate angles]
$\angle 2={30}^{\circ }$ [Alternate angles]

$\angle BOC=\angle 1+\angle 2$
$\angle BOC={45}^{\circ }+{30}^{\circ }={75}^{\circ }$
So, $x={360}^{\circ }-\angle BOC={360}^{\circ }-{75}^{\circ }={285}^{\circ }$
Hence, $x={285}^{\circ }$