Question

solve for x to make a||b. (9x + 24)° (3x)° x =?

Explanation:

Step1: Identify supplementary angles

When \(A \parallel B\), the given angles are same-side interior angles, so they sum to \(180^\circ\):
\(3x + (9x + 24) = 180\)

Step2: Combine like terms

Simplify the left-hand side:
\(12x + 24 = 180\)

Step3: Isolate the variable term

Subtract 24 from both sides:
\(12x = 180 - 24\)
\(12x = 156\)

Step4: Solve for x

Divide both sides by 12:
\(x = \frac{156}{12}\)

Answer:

\(x = 13\)