Question

130° 27x - 5

Explanation:

Step1: Use the property of supplementary angles

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. So, \((27x - 5)+130 = 180\).

Step2: Simplify the equation

Simplify the left - hand side of the equation: \(27x-5 + 130=27x + 125\). Then the equation becomes \(27x+125 = 180\).

Step3: Solve for \(x\)

Subtract 125 from both sides: \(27x=180 - 125\), so \(27x = 55\). Then \(x=\frac{55}{27}\approx2.04\).

Answer:

\(x = \frac{55}{27}\)