Question

In the figure above, point $O$ lies on line $AB$. What is the value of $x$?

• A. ${90}^o$
• B. ${120}^o$
• C. ${144}^o$
• D. ${156}^o$

Answer 1

The correct option is C ${144}^o$

Given that point $O$ lies on line $AB$, so $AOB$ forms a straight line.

Therefore angle made by line $AOB$ at point $O$ is $180$ degrees.

Which implies $\frac{x}{2}+\frac{x}{3}+\frac{x}{4}+\frac{x}{6}=\frac{5x}{4}=360$.

Therefore $x=144$.