Question

1. solve for x.

Explanation:

Step1: Use the property of parallel lines

When two parallel lines are cut by a transversal, the alternate - interior angles are equal. So, \(10x - 22=3x + 7\).

Step2: Solve the equation for \(x\)

Subtract \(3x\) from both sides: \(10x-3x - 22=3x-3x + 7\), which simplifies to \(7x-22 = 7\).
Add \(22\) to both sides: \(7x-22 + 22=7 + 22\), getting \(7x=29\).
Divide both sides by \(7\): \(x=\frac{29}{7}\approx4.14\).

Answer:

\(x = \frac{29}{7}\)