Question

find the measure of ∠gji. m∠gji = °

Explanation:

Step1: Identify angle - relationship

Assume the two angles are vertical angles (or some other equal - angle relationship based on parallel lines etc., if applicable). Since vertical angles are equal, we set up the equation $4x=12x - 12$.

Step2: Solve the equation for x

Subtract $4x$ from both sides: $0 = 12x-4x - 12$, which simplifies to $0 = 8x - 12$. Then add 12 to both sides: $12 = 8x$. Divide both sides by 8: $x=\frac{12}{8}=\frac{3}{2}$.

Step3: Find the measure of ∠GJI

Substitute $x = \frac{3}{2}$ into the expression for ∠GJI. If ∠GJI is represented by $(12x - 12)^{\circ}$, then $m\angle GJI=12\times\frac{3}{2}-12$. First, $12\times\frac{3}{2}=18$, then $18 - 12 = 6$.

Answer:

$6$