Question

1
(7x - 44)。
(8y - 43)。
39。
(4x + 4)。
9 = 23

Explanation:

Step1: Find the value of \(x\)

Since the two lines \(l\) and \(m\) are parallel, the corresponding angles are equal.
We know that \((7x - 44)^{\circ}=(4x + 4)^{\circ}+ 39^{\circ}\)

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Step2: Find the value of \(y\)

Substitute \(x = 29\) into \((4x + 4)^{\circ}\), we get \(4\times29+4=120^{\circ}\)
Since \((8y-43)^{\circ}\) and \((4x + 4)^{\circ}\) are equal (corresponding angles for parallel lines \(l\) and \(m\))

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Answer:

\(x = 29\), \(y=20.375\)