Question

question 4
∠mln is shown below. lp is the angle - bisector of ∠mln. m∠mln = 48°. what is the measure of ∠pln?

Explanation:

Step1: Recall angle - bisector property

An angle - bisector divides an angle into two equal parts.

Step2: Identify given and required angles

Given that $\angle MLN = 48^{\circ}$ and $LP$ is the angle - bisector of $\angle MLN$, we need to find $\angle PLN$.

Step3: Calculate $\angle PLN$

Since $LP$ bisects $\angle MLN$, then $\angle PLN=\frac{1}{2}\angle MLN$. Substituting $\angle MLN = 48^{\circ}$, we get $\angle PLN=\frac{48^{\circ}}{2}=24^{\circ}$.

Answer:

$24^{\circ}$