Question

in the figure below, k || o. find the values of x and y.

Explanation:

Step1: Use the property of parallel lines (corresponding angles)

Since \(k\parallel o\), \(x = 67\) (corresponding angles are equal).

Step2: Solve for \(y\)

We know that \(x=4y + 13\). Substitute \(x = 67\) into the equation:
\(67=4y + 13\)
Subtract 13 from both sides:
\(67-13=4y\)
\(54 = 4y\)
Divide both sides by 4:
\(y=\frac{54}{4}=\frac{27}{2}=13.5\)

Answer:

\(x = 67\), \(y = 13.5\)