Question

a.) find x:

Explanation:

Step1: Find the adjacent angle of \(120^{\circ}\)

The adjacent angle of \(120^{\circ}\) is \(180^{\circ}- 120^{\circ}=60^{\circ}\)

Step2: Use the exterior angle theorem

The exterior angle theorem states that the exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So \(60^{\circ}+(15x + 5)=(22x + 4)\)

Step3: Solve the equation

$$
LATEXBLOCK0
$$

Answer:

\(x = \frac{61}{7}\)