Question

find the measure of ∠fij. m∠fij = °

Explanation:

Step1: Identify angle - relationship

$\angle FIJ$ and $(3x + 12)^{\circ}$ are corresponding angles. If $EF\parallel GH$, then $9x=3x + 12$.

Step2: Solve for $x$

Subtract $3x$ from both sides of the equation $9x=3x + 12$.
$9x-3x=3x + 12-3x$
$6x=12$
Divide both sides by 6: $x=\frac{12}{6}=2$.

Step3: Find the measure of $\angle FIJ$

Since $\angle FIJ = 9x^{\circ}$, substitute $x = 2$ into the expression.
$m\angle FIJ=9\times2^{\circ}=18^{\circ}$

Answer:

$18$