Question

$LM$ is a straight line and C is a point on $LM$. Line $CN$ is drawn not coinciding with $CL$ or $CM$. If $\angle MCN$ is one-third of $\angle LCN$, what is $\angle MCN$ equal to?

• A. ${45}^{\circ }$
• B. ${60}^{\circ }$
• C. ${75}^{\circ }$
• D. ${80}^{\circ }$

Answer 1

The correct option is A ${45}^{\circ }$

According to the equation $x+3x={180}^{\circ }$
$\Rightarrow x={45}^{\circ }$