Question

answer attempt 1 out of 2
$x = square$ $y = square$

Explanation:

Step1: Use the property of alternate interior angles

Since lines \(m\) and \(n\) are parallel, \(6x + 19=7x + 15\) (alternate interior angles are equal).

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Step2: Find the value of \(y\)

Substitute \(x = 4\) into \(6x+19\), we get \(6\times4 + 19=24 + 19=43\). Then, since \(y\) and \(6x + 19\) are supplementary (they form a linear pair), \(y=180-(6x + 19)\). Substituting \(x = 4\), \(y=180 - 43=137\)

Answer:

\(x = 4\), \(y=137\)