Question

Value of $x$, if line $p||q$

• A. ${40}^o$
• B. ${30}^o$
• C. ${90}^o$
• D. ${60}^o$

Answer 1

The correct option is B ${30}^o$

Concept: Sum of co-interior angles is ${180}^o$

Here, $2x+50\&x+40$ are co-interior angles.

$2x+50+x+40={180}^{o}3x+90={180}^{o}3x={180}^o-{90}^{o}3x={90}^{o}x={30}^o$
Hence, correct option is $\left(b\right)$.