Question

the lines c and d are parallel. what is the value of x based on the following angles?

Explanation:

Step1: Use the property of consecutive interior angles

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. So, \((5x + 94)+(-4x + 80)=180\).

Step2: Simplify the equation

Combine like - terms: \((5x-4x)+(94 + 80)=180\), which simplifies to \(x+174 = 180\).

Step3: Solve for \(x\)

Subtract 174 from both sides of the equation: \(x=180 - 174\).

Answer:

\(x = 6\)