Answer:
36°
Step-by-step explanation:
∠A + ∠B + ∠C = 180°
∠A:∠B:∠C = 8:10:12 = 8x:10x:12x
8x + 10x + 12x = 180
20x = 180
x = 9
∠A = 8x = 8 × 9 = 72°
∠B = 10x = 10 × 9 = 90°
∠C = 12x = 12 × 9 = 108°
∠C - ∠A = 108 -72 = 36 °
The difference between the largest and the smallest angle is 36°.
