Question

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

Explanation:

Step1: Identify angle - relationship

Assume the angles are corresponding angles (since they are in a transversal - parallel lines setup, and corresponding angles are equal). So, we set up the equation \(8x - 4=6x + 12\).

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:

\(x = 8\)