Question

In the given figure, AB||CD. The value of x is

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• 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, $x={285}^{\circ }$