Question

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

Explanation:

Step1: Find the value of \(x\)

Since \(m\parallel n\), \((6x + 20)^{\circ}\) and \((7x+13)^{\circ}\) are supplementary angles.

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Step2: Find the value of \(y\)

Substitute \(x = 11\) into \((6x + 20)^{\circ}\), we get \(6\times11+20=66 + 20=86^{\circ}\)
Since \((3y-17)^{\circ}\) and \((6x + 20)^{\circ}\) are vertical angles, \((3y-17)=(6x + 20)\)
Substitute \(x = 11\) into the equation:

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Answer:

\(x = 11\), \(y=\frac{103}{3}\approx34.33\)