Question

given ( m parallel n ), find the value of ( x ) and ( y ).

Explanation:

Step1: Find the value of \(x\)

Since \(m\parallel n\), \((9x + 2)^{\circ}+(5x-18)^{\circ}=180^{\circ}\) (supplementary angles).

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Step2: Find the value of \(y\)

First, find \((9x + 2)^{\circ}\). Substitute \(x = 14\) into \(9x+2\), we get \(9\times14+2=126 + 2=128^{\circ}\).
Since \(m\parallel n\), \((2y + 20)^{\circ}=(9x + 2)^{\circ}\) (corresponding angles).

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Answer:

\(x = 14\), \(y = 54\)