Question

two parallel lines are crossed by a transversal. what is the value of $x$? $x = 12$ $x = 14$ $x = 24$ $x = 22$

Explanation:

Step1: Use the property of parallel lines

When two parallel lines are crossed by a transversal, consecutive interior angles are supplementary. So, \((5x + 5)+115 = 180\).

Step2: Simplify the equation

\(5x+5 + 115=180\) simplifies to \(5x+120 = 180\).

Step3: Solve for \(x\)

Subtract \(120\) from both sides: \(5x=180 - 120\), so \(5x = 60\). Then divide both sides by \(5\): \(x=\frac{60}{5}=12\).

Answer:

\(x = 12\)