Question

Find the measure of $\angle LNM$ in the given figure.

• A. ${30}^o$
• B. ${80}^o$
• C. ${70}^o$
• D. ${60}^o$

Answer 1

Answer: (D)

${60}^o$

$\angle KLO=\angle MLN$ ....Vertically opposite angles
Therefore, $\angle MLN={70}^o$
In $△LMN$, we have

$\angle MLN+\angle LNM+\angle LMN={180}^o$ .....(Angle sum property)
$\Rightarrow {70}^o+\angle LNM+{50}^o={180}^o$
$\Rightarrow \angle LNM={180}^o-({70}^o+{50}^o)={60}^o$