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, \(8x - 10=7x\).
\[

$$\begin{align*} 8x-7x&=10\\ x& = 10 \end{align*}$$

\]

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 \(6y+20 = 70\).
\[

$$\begin{align*} 6y&=70 - 20\\ 6y&=50\\ y&=\frac{50}{6}=\frac{25}{3} \end{align*}$$

\]

Answer:

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