Question

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

Explanation:

Step1: Find the value of \(x\)

Since \(k\parallel l\) and \(m\parallel n\), \(x\) and \(60^{\circ}\) are vertical - angles.
\(x = 60^{\circ}\)

Step2: Find the value of \(y\)

Since \(k\parallel l\) and \(m\parallel n\), \(3y-48\) and \(x\) are corresponding - angles.
Substitute \(x = 60\) into \(3y-48=x\).
\(3y-48 = 60\)
Add \(48\) to both sides: \(3y=60 + 48\)
\(3y=108\)
Divide both sides by \(3\): \(y=\frac{108}{3}\)
\(y = 36\)

Answer:

\(x = 60\), \(y = 36\)