Question

In the given figure, if $l||m$, then the value of x is

• A. ${63}^0$
• B. ${35}^0$
• C. ${82}^0$
• D. ${98}^0$

Answer 1

The correct option is C ${82}^0$


$y={35}^0$ [corresponding angles]
Also, the angle between x and ${63}^{\circ }$ is also equal to y.
As, both are vertically Opposite Angles.
Since p is a line,
$x+y+{63}^0={180}^0$
$\Rightarrow x+{35}^0+{63}^0={180}^0$
$\Rightarrow x+{98}^0={180}^0$
$\Rightarrow x={82}^0$

So, option c is correct.