Question

5 if ( l parallel m ), find the value of each missing variable(s).

Explanation:

Step1: Use the property of parallel lines and transversals (corresponding angles)

Since \(l\parallel m\), \((8y + 17)^{\circ}=(3x - 29)^{\circ}\) (corresponding angles). Also, \((8x-7)^{\circ}=(8y + 17)^{\circ}\) (vertical angles, and vertical angles are equal, and since \(l\parallel m\) we can use the relationship). So \(8x-7=3x - 29\)

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Step2: Substitute \(x = 11\) into the equation for \(y\)

Substitute \(x = 11\) into \(8y+17=3x - 29\). Then \(8y+17=3\times11-29\)

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Answer:

\(x = 11,y = 4\)