Question

1. (9x - 2)° 47°

Explanation:

Step1: Identify angle - relationship

The angles $(9x - 2)^{\circ}$ and $47^{\circ}$ are corresponding angles (assuming the lines are parallel), so they are equal.
$9x-2 = 47$

Step2: Solve for x

Add 2 to both sides of the equation.
$9x=47 + 2$
$9x=49$
Then divide both sides by 9.
$x=\frac{49}{9}$

Answer:

$x=\frac{49}{9}$