Question

in the figure below, ( lparallel h ). find the values of ( x ) and ( y ).

Explanation:

Step1: Find the value of \(x\)

Since \(l\parallel h\), \(x = 85\) (corresponding angles are equal).

Step2: Find the value of \(y\)

Because \(x+(4y - 13)=180\) (supplementary angles), substitute \(x = 85\) into the equation:
\(85+(4y - 13)=180\)
\(4y+72 = 180\)
\(4y=180 - 72\)
\(4y = 108\)
\(y=\frac{108}{4}=27\)

Answer:

\(y = 27\), \(x = 85\)