Question

solve for x to make a||b. a (6x + 14)° 56° b x =?

Explanation:

Step1: Set up supplementary angle equation

When \(A \parallel B\), the given angles are same-side interior angles, so they sum to \(180^\circ\):
\((6x + 14) + 56 = 180\)

Step2: Simplify the left-hand side

Combine the constant terms:
\(6x + 70 = 180\)

Step3: Isolate the variable term

Subtract 70 from both sides:
\(6x = 180 - 70\)
\(6x = 110\)

Step4: Solve for \(x\)

Divide both sides by 6:
\(x = \frac{110}{6} = \frac{55}{3}\)

Answer:

\(x = \frac{55}{3}\) or \(x \approx 18.33\)