Question

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

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

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