Question

1. (9x + 2)° 133° l m

Explanation:

Step1: Identify angle - relationship

Assume the two lines \(l\) and \(m\) are parallel. Then \((9x + 2)^{\circ}\) and \(133^{\circ}\) are corresponding angles (or alternate - exterior angles if the lines are parallel), so they are equal.

$$9x+2 = 133$$

Step2: Solve for \(x\)

Subtract 2 from both sides of the equation:

$$9x=133 - 2$$

$$9x = 131$$

Then divide both sides by 9:

$$x=\frac{131}{9}\approx14.56$$

Answer:

\(x = \frac{131}{9}\)