Question

LN is the angle bisector of ${45}^o$. Find $\angle NLK.$

• A. ${22.5}^o$
• B. ${23.5}^o$
• C. ${24}^o$
• D. none of the above

Answer 1

The correct option is A ${22.5}^o$

$LN$ is the angle bisector of $\angle MLK$ . So it divides $\angle MLK$ in two equal angles $\angle MLN$ and $\angle NLK$.

Hence $\angle NLK=\frac{\angle MLK}{2}=\frac{{45}^{\circ }}{2}={22.5}^{\circ }$

Hence option $A$ is correct.