Answer:
∠ F = ∠ G = 40° , ∠ H = 100°
Explanation:
sum the parts of the ratio, 4 + 4 + 10 = 18 parts
Divide 180° ( sum of angles in triangle ) by 18 to find the value of one part of the ratio.
180° ÷ 18 = 10° ← value of 1 part of the ratio , then
∠ F = 4 × 10° = 40°
∠ G = 4 × 10° = 40°
∠ H = 10 × 10° = 100°