Question

solve for x.
submit

Explanation:

Step1: Find the measure of the angle adjacent to \(118^{\circ}\)

Since adjacent angles on a straight line sum to \(180^{\circ}\), the angle adjacent to \(118^{\circ}\) is \(180 - 118=62^{\circ}\)

Step2: Use the property of corresponding angles (assuming \(KL\parallel MN\))

If \(KL\parallel MN\), then \(4x + 38=62\) (corresponding angles are equal)

Step3: Solve the equation for \(x\)

Subtract \(38\) from both sides: \(4x=62 - 38\), so \(4x = 24\)
Divide both sides by \(4\): \(x=\frac{24}{4}\)

Answer:

\(x = 6\)