Question

find the measure of ∠fli.
(5x - 3)°
(147 - x)°
m∠fli = □°

Explanation:

Step1: Identify angle - relationship

Since $\angle FLI$ and $(147 - x)^{\circ}$ are corresponding angles (assuming $HI\parallel JK$), they are equal. Also, $\angle FLI=(5x - 3)^{\circ}$. So we set up the equation $5x-3 = 147 - x$.

Step2: Solve the equation for $x$

Add $x$ to both sides: $5x+x-3=147 - x+x$, which simplifies to $6x-3 = 147$. Then add 3 to both sides: $6x-3 + 3=147+3$, getting $6x=150$. Divide both sides by 6: $x=\frac{150}{6}=25$.

Step3: Find the measure of $\angle FLI$

Substitute $x = 25$ into the expression for $\angle FLI$, which is $5x-3$. So $m\angle FLI=5\times25-3=125 - 3=122^{\circ}$.

Answer:

$122$