Question

In the given figure, POQ is a line, then the value of $x$ is

• A. ${20}^{\circ }$
• B. ${25}^{\circ }$
• C. ${30}^{\circ }$
• D. ${35}^{\circ }$

Answer 1

The correct option is A ${20}^{\circ }$

Here,
${40}^{\circ }+4x+3x={180}^{\circ }$ [since POQ is straight line]
$7x={180}^{\circ }-{40}^{\circ }$
$x=\frac{140}{7}={20}^{\circ }$
Hence, the value of $x$ is ${20}^{\circ }$