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shown clearly and neatly. x = ____ 22) y = ____ (8x - 10)° (6y + 20)° 7…

Question

shown clearly and neatly. x = __ 22) y = __ (8x - 10)° (6y + 20)° 7x°

Explanation:

Step1: Use the property of corresponding angles

Since the two horizontal - lines are parallel, the corresponding angles are equal. So, \(8x - 10=7x\).

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Step2: Use the property of alternate - interior angles

The angles \((6y + 20)^{\circ}\) and \(7x^{\circ}\) are alternate - interior angles. Substitute \(x = 10\) into \(7x\), we get \(7x=7\times10 = 70\). Then, since \(6y+20 = 70\).

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Answer:

\(x = 10\), \(y=\frac{25}{3}\)