Question

If $KLMN$ is a constructed parallelogram, what is the value of $\angle KLM$?

• A. ${15}^o$
• B. ${30}^o$
• C. ${45}^0$
• D. ${60}^o$

Answer 1

Answer: (C)

${45}^0$

$\Rightarrow$ In given figure KLMN is a parallelogram.

$\Rightarrow$ Let in figure $PL\perp KO$

$\Rightarrow$ So, $\angle PLK={90}^{\circ }$

$\Rightarrow$ Let $LM$ is angle bisector of $\angle PLK$ such that,

$\Rightarrow$ $\angle MLP=\angle KLM$ --- ( 1 )

$\Rightarrow$ Since, $\angle PLK={90}^{\circ }$

$\Rightarrow$ $\angle MLP+\angle KLM={90}^{\circ }$

$\Rightarrow$ $2\angle KLM={90}^{\circ }$

$\therefore$ $\angle KLM={45}^{\circ }$