Question

given ( m parallel n ), find the value of ( x ) and ( y ).
answer attempt 1 out of 2
( x=)
( y=)

Explanation:

Step1: Use the property of same - side interior angles

Since \(m\parallel n\), the sum of \((9x - 13)^{\circ}\) and \((3x-11)^{\circ}\) is \(180^{\circ}\) (same - side interior angles are supplementary).

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Step2: Solve the equation for \(x\)

Add \(24\) to both sides of the equation \(12x-24 = 180\).

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Divide both sides by \(12\): \(x=\frac{204}{12}=17\)

Step3: Find the value of \(y\)

Since \(y\) and \((3x - 11)\) are vertical angles (vertical angles are equal). Substitute \(x = 17\) into \((3x-11)\).

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So \(y = 40\)

Answer:

\(x = 17\), \(y=40\)