Question

Measure of $\angle$N in $\Delta$LMN is

• A. 198.7${}^o$
• B. 87.9${}^o$
• C. 59.3${}^o$
• D. 8.97${}^o$

Answer 1

The correct option is C 59.3${}^o$

$\Rightarrow$ $\angle L={32.8}^o$ and $\angle M={87.9}^o$ [ Given ]

Sum of three interior angles of a triangle is ${180}^o.$

$\therefore$ $\angle L+\angle M+\angle N={180}^o.$

$\Rightarrow$ ${32.8}^o+{87.9}^o+\angle N={180}^o.$

$\Rightarrow$ ${120.7}^o+\angle N={180}^o.$

$\Rightarrow$ $\angle N={180}^o-{120.7}^o$

$\Rightarrow$ $\angle N={59.3}^o.$

$\therefore$ Measure of $\angle N$ in $△LMN$ is

${59.3}^o.$