Question

if the measure of ∠gij is (9x)° and the measure of ∠ilm is (12x - 15)°, what is the value of x?

Explanation:

Step1: Set up the equation

Since $\angle GIJ$ and $\angle ILM$ are corresponding angles (assuming the lines are parallel as per the context of angle - relationships), they are equal. So we set up the equation $9x=12x - 15$.

Step2: Solve for $x$

Subtract $9x$ from both sides: $0 = 12x-9x - 15$, which simplifies to $0 = 3x-15$. Then add 15 to both sides: $15 = 3x$. Divide both sides by 3: $x=\frac{15}{3}=5$.

Answer:

$5$