Question

show all work on paper to receive partial credit if ( l parallel m ), find the values of ( x ) and ( y )

Explanation:

Step1: Use the property of parallel lines and transversal (vertical - angle and supplementary - angle)

Since \(l\parallel m\), \((3x - 16)^{\circ}\) and \((6x + 7)^{\circ}\) are supplementary.
So, \((3x-16)+(6x + 7)=180\)

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Step2: Find the value of \(y\)

\((11y-32)^{\circ}\) and \((3x - 16)^{\circ}\) are equal (alternate - interior angles).
Substitute \(x = 21\) into \(3x-16\), we get \(3\times21-16=63 - 16=47\)
Then \(11y-32 = 47\)

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Answer:

\(x = 21\), \(y = 7\)