Question

two parallel lines are crossed by a transversal. what is the value of k? ( k = 20 ) ( k = 9 ) ( k = 60 ) ( k = 71 )

Explanation:

Step1: Use property of parallel lines

When two parallel lines are crossed by a transversal, corresponding angles are equal. So, \(2k + 11=131\).

Step2: Solve the equation for \(k\)

Subtract \(11\) from both sides: \(2k=131 - 11\), so \(2k = 120\). Then divide both sides by \(2\): \(k=\frac{120}{2}=60\).

Answer:

\(k = 60\)