Question

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

Explanation:

Step1: Find the value of \(x\)

Since \(m\parallel n\), the angles \((8x + 1)^{\circ}\) and \((9x-16)^{\circ}\) are equal (alternate interior angles).

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Step2: Find the value of \(y\)

Substitute \(x = 17\) into \((8x + 1)^{\circ}\), we get \(8\times17+1=137^{\circ}\).
Since \(m\parallel n\), \((8x + 1)^{\circ}\) and \((4y+3)^{\circ}\) are supplementary (same - side interior angles).

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Answer:

\(x = 17\) and \(y=10\)