Question

1. pool. isabella uses a computer program to model the paths of pool balls. ∠gfh is a straight angle that represents the rail of the pool table. if fk bisects ∠jfl, and m∠jfl = 90°, what is m∠lfk?

Explanation:

Step1: Recall the definition of angle - bisector

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

Step2: Identify the given angle

We are given that $\angle JFL = 90^{\circ}$ and $FK$ bisects $\angle JFL$.

Step3: Calculate the measure of $\angle LFK$

If $FK$ bisects $\angle JFL$, then $\angle LFK=\frac{1}{2}\angle JFL$. Substituting $\angle JFL = 90^{\circ}$ into the formula, we get $\angle LFK=\frac{90^{\circ}}{2}=45^{\circ}$.

Answer:

$45^{\circ}$