Question

In $\Delta LMN,\angle L={60}^{\circ }$, $\angle M={50}^{\circ }$. If $\Delta LMN\sim \Delta PQR$, then the value of $\angle R$ is

• A. ${40}^{\circ }$
• B. ${30}^{\circ }$
• C. ${70}^{\circ }$
• D. ${110}^{\circ }$

Answer 1

Answer: (C)

${70}^{\circ }$

In $△LMN$

$\angle L+\angle M+\angle N={180}^{\circ }{60}^{\circ }+{50}^{\circ }+\angle N={180}^{\circ }\Rightarrow \angle N={70}^{\circ }$

Now ,

$△LMN\sim △PQR\therefore \angle R=\angle N\Rightarrow \angle N={70}^{\circ }$