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 \(m\parallel n\), \(x = 77\) (corresponding angles are equal).

Step2: Find the value of \(y\)

Since \(k\parallel l\), \(x+(5y - 83)=180\) (consecutive interior angles are supplementary).
Substitute \(x = 77\) into the equation:
\(77+(5y - 83)=180\)
\(5y-6 = 180\)
\(5y=186\)
\(y = 37.2\)

Answer:

\(x = 77\), \(y = 37.2\)