Question

solve for x.

x =
submit

Explanation:

Step1: Use the property of consecutive interior angles

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. So, \(2x+(5x + 5)=180\).

Step2: Simplify the equation

Combine like - terms: \(2x+5x+5 = 180\), which gives \(7x+5=180\).

Step3: Solve for \(x\)

Subtract 5 from both sides: \(7x=180 - 5=175\). Then divide both sides by 7: \(x=\frac{175}{7}=25\).

Answer:

\(25\)