Question

1. (9x - 2)° 47°

Explanation:

Step1: Identify angle - pair relationship

Assume the angles are corresponding angles (since no other information about the parallel - line relationship is given explicitly, and for parallel lines, corresponding angles are equal). So, \(9x - 2=47\).

Step2: Solve the equation for \(x\)

Add 2 to both sides of the equation: \(9x-2 + 2=47 + 2\), which simplifies to \(9x=49\). Then divide both sides by 9: \(x=\frac{49}{9}\approx5.44\).

Answer:

\(x = \frac{49}{9}\)