Question

5 find the value of y.
1 find the value of y.
9 find the value of y.
11 find the value of x.
red: q
light green: 14
blue: 22
light brown: 16
yellow:
dark gre
purple:

Explanation:

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

Since the two lines are parallel and cut by a transversal, \((4x + 23)^{\circ}\) and \((9x-38)^{\circ}\) are supplementary. So, \((4x + 23)+(9x - 38)=180\).

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Step2: Find the value of \(y\)

\((21y-1)^{\circ}\) and \((4x + 23)^{\circ}\) are corresponding angles. Substitute \(x = 15\) into \((4x + 23)\): \(4\times15+23=60 + 23=83\). Then \(21y-1=83\).

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Answer:

\(y = 4\)