Question

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

Explanation:

Step1: Use the property of alternate interior angles

Since \(m\parallel n\), then \(6x + 19=7x + 15\) (alternate - interior angles are equal).

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Step2: Find the value of \(y\)

We know that \(y+(6x + 19)=180\) (linear - pair of angles). Substitute \(x = 4\) into \(6x+19\): \(6\times4+19=24 + 19=43\). Then \(y=180-(6x + 19)\).

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Answer:

\(x = 4\) and \(y=137\)