Question

In the given figure, if AB || CD, then find the value of $x$.
Note: The line p is parallel to AB and CD.

Answer 1

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

$\angle BOC=\angle 1+\angle 2$
$\Rightarrow \angle BOC={45}^{\circ }+{30}^{\circ }={75}^{\circ }$

Angle around a point is 360°.
So, $x+\angle BOC=360°$
$\Rightarrow x$ = 360° - $\angle$BOC
$\Rightarrow x$ = 360° - 75° = 285°

Hence, the value of x is 285°.