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, $x={360}^{\circ }-\angle BOC={360}^{\circ }-{75}^{\circ }={285}^{\circ }$
Hence, $x={285}^{\circ }$