Question

given ( m parallel n ), find the value of ( x ) and ( y ).
31.
32.
33.
34.

Explanation:

Step1: Find \(x\) using the property of adjacent angles

Since \(m\parallel n\), the adjacent angles \((5x + 1)^{\circ}\) and \((6x-10)^{\circ}\) are supplementary.

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Step2: Find \(y\) using the property of corresponding angles

\(y^{\circ}\) and \((5x + 1)^{\circ}\) are corresponding angles. Substitute \(x = 17\) into \((5x + 1)\)

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Answer:

\(x = 17\)
\(y = 86\)