Question

in the figure below, ( k parallel o ). find the values of ( x ) and ( y ).

Explanation:

Step1: Find the value of \(x\)

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

Step2: Find the value of \(y\)

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

Answer:

\(x = 67,y = 13.5\)