Question

10.
(3x - 29)^circ(8y + 17)^circ
1
(6x - 7)^circ
m
11.

Explanation:

Step1: Use the property of corresponding angles

Since lines \(l\) and \(m\) are parallel, \((3x - 29)^{\circ}\) and \((6x - 7)^{\circ}\) are supplementary. So, \((3x-29)+(6x - 7)=180\).

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Step2: Find the value of \(y\)

Substitute \(x = 24\) into \((3x - 29)\). \(3\times24-29=72 - 29=43\).
Since \((3x - 29)^{\circ}\) and \((8y + 17)^{\circ}\) are vertical angles, \(8y+17=43\).

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Answer:

\(x = 24\), \(y = 3.25\)