Answer:
24°
Step-by-step explanation:
The sum of the ratios is 30. We know that the degree measure of a triangle is 180, so if we divide 180 by 3 we get increments of 6°. That means that 4 parts algebraically can be expressed as 4(6°); 12 parts as 12(6°); 14 parts as 14(6°). That gives us angles of 24°, 72°, 84°. If we add those up we do indeed get 180°, so the smallest angle measure in that extended ratio is 24°
