Question

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

Explanation:

Step1: Use the property of consecutive interior angles

Since \(m\parallel n\), the sum of \((6x + 4)^{\circ}\) and \((9x-14)^{\circ}\) is \(180^{\circ}\) (consecutive interior angles are supplementary).

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Step2: Find the value of \(y\)

\(y^{\circ}\) and \((6x + 4)^{\circ}\) are alternate interior angles. Substitute \(x = 12\) into \(6x+4\):

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Since \(y\) and \(6x + 4\) are alternate interior angles (\(m\parallel n\)), \(y=76\)

Answer:

\(x = 12\), \(y=76\)