since the ∡C = ∡B, that means their corresponding sides stemming from the vertex A are equal, namely AC = AB.
2x - 24 = x - 2
x = 22.
<u>I'll assume you need to find the equation of the line that passes through those points.</u>
Answer:

Step-by-step explanation:
<u>Equation of a Line:</u>
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

The given points are (-4,2) and (12,6), thus:

Operating:

Simplifying, the equation in point-slope form is:

Since this is a parallelogram and the angles are adjacent to one another, a theorem will prove that the sum of these two angles would equal 180°
Therefore, we can set up this equation:
(2x + 24) + x = 180 ⇒ Remove parentheses
2x + 24 + x = 180 ⇒ Combine like terms
3x + 24 = 180 ⇒ Subtract 24 from both sides
3x = 156 ⇒ Divide both sides by 3
x = 52°