Question

in the diagram, a || b. what is x? a. 54 b. 106 c. 94 d. 86

Explanation:

Step1: Use the property of parallel lines

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. So, \((x + 20)+74 = 180\).

Step2: Solve the equation

Simplify the equation: \(x+20 + 74=180\), which becomes \(x+94 = 180\). Then subtract 94 from both sides: \(x=180 - 94\).

Answer:

A. 54