Question

find the measure of ∠fij. m∠fij = □°

Explanation:

Step1: Identify angle - relationship

Since $\angle FID$ and $\angle DJH$ are corresponding angles (assuming $EF\parallel GH$ as indicated by the arrow - heads), they are equal. Also, $\angle FID = 9x$ and $\angle DJH=3x + 12$. So, $9x=3x + 12$.

Step2: Solve for x

Subtract $3x$ from both sides of the equation $9x=3x + 12$. We get $9x-3x=3x + 12-3x$, which simplifies to $6x=12$. Then divide both sides by 6: $x=\frac{12}{6}=2$.

Step3: Find the measure of $\angle FID$

Substitute $x = 2$ into the expression for $\angle FID$. Since $\angle FID = 9x$, then $\angle FID=9\times2=18$.

Answer:

$18$