Answer:
120°
Explanation:
You want the measure of ∠S = 12x° in a triangle with the other two angles being 4x° and 2x°.
Angle sum theorem
The sum of angles in a triangle is 180°. That means ...
12x° +4x° +2x° = 180°
18x° = 180° . . . . . . . . . . collect terms
x° = 10° . . . . . . . . . . . divide by 18
12x° = 12(10°) = 120° . . . . . find the measure of 12x°, angle S
m∠S = 120°