Question

find the measure of ∠fli.
(7x - 13)°
(6x + 8)°
m∠fli = □°

Explanation:

Step1: Identify angle - relationship

Assume lines $HI$ and $JK$ are parallel. $\angle FLI$ and the angle $(6x + 8)^{\circ}$ are corresponding angles, so $7x-13=6x + 8$.

Step2: Solve for $x$

Subtract $6x$ from both sides of the equation $7x-13=6x + 8$. We get $7x-6x-13=6x-6x + 8$, which simplifies to $x-13=8$. Then add 13 to both sides: $x=8 + 13=21$.

Step3: Find the measure of $\angle FLI$

Substitute $x = 21$ into the expression for $\angle FLI$ which is $7x-13$. So $m\angle FLI=7\times21-13=147-13 = 134^{\circ}$.

Answer:

$134$