Question

In the figure given, the measure in degrees of $\angle ABC$ is ${72}^{\circ }$. Find the value of $x$.

• A. ${18}^{\circ }$
• B. ${24}^{\circ }$
• C. ${27}^{\circ }$
• D. ${30}^{\circ }$

Answer 1

The correct option is B ${24}^{\circ }$

In given figure $\angle ABC={72}^o$.
$\Rightarrow x^o+{2x}^o=\angle ABC={72}^o$
$\Rightarrow 3x={72}^o$
$\Rightarrow x={24}^o$.

Therefore, option $B$ is correct.