Question

2 - 2 transversals practice directions: determine the angle relationship, then solve for x. angle relationship: x = 2. angle relationship x = 3. angle relationship: 4. angle relations

Explanation:

Step1: Identify angle - relationship

Assume the angles are alternate - interior angles (since they are between parallel lines and on opposite sides of the transversal). Alternate - interior angles are equal. So, $8x - 4=6x + 12$.

Step2: Solve the equation for x

Subtract $6x$ from both sides: $8x-6x - 4=6x-6x + 12$, which simplifies to $2x-4 = 12$.

Step3: Isolate the variable term

Add 4 to both sides: $2x-4 + 4=12 + 4$, getting $2x=16$.

Step4: Solve for x

Divide both sides by 2: $\frac{2x}{2}=\frac{16}{2}$, so $x = 8$.

Answer:

$x = 8$