Question

1. find the measure of ∠s.

Explanation:

Step1: Identify angle - relationship

The angle \(9x + 7\) and the \(70^{\circ}\) angle are corresponding angles (assuming the two vertical - like lines are parallel). Corresponding angles are equal.
So, \(9x+7 = 70\).

Step2: Solve for \(x\)

Subtract 7 from both sides of the equation: \(9x=70 - 7\), so \(9x = 63\).
Then divide both sides by 9: \(x=\frac{63}{9}=7\).

Step3: Find the measure of \(\angle s\)

\(\angle s\) and the \(70^{\circ}\) angle are alternate - exterior angles (assuming the two vertical - like lines are parallel). Alternate - exterior angles are equal.
So the measure of \(\angle s=70^{\circ}\).

Answer:

\(70^{\circ}\)