Question

Line $p||q$, the value of $x$ is

• A. ${30}^o$
• B. ${40}^o$
• C. ${20}^o$
• D. None of the above

Answer 1

The correct option is C ${20}^o$

By using the alternate interior angle theorem,
as $p||q$, so
$6x-{20}^o=3x+{40}^o(\because \text{Alternate Int. Angles})$
$6x-3x={40}^o+{20}^o$
$3x={60}^o$
$x={20}^o$
Hence, correct answer is option$\left(c\right)$