Question

for what value of x is line a parallel to line b? a (4x + 28)° b 116° 64°

Explanation:

Step1: Use corresponding - angles property

If line a is parallel to line b, then the corresponding angles are equal. Here, the angle \((4x + 28)^{\circ}\) and the \(116^{\circ}\) angle are corresponding angles. So we set up the equation \(4x+28 = 116\).

Step2: Solve the equation for x

Subtract 28 from both sides of the equation: \(4x=116 - 28\), so \(4x = 88\). Then divide both sides by 4: \(x=\frac{88}{4}\).

Answer:

\(x = 22\)