Answer:
∠ H = 22.5°, ∠ I = 45° , ∡ J = 112.5°
Step-by-step explanation:
The 3 angles in a triangle sum to 180° , then
x + 2x + 5x = 180 , that is
8x = 180 ( divide both sides by 8 )
x = 22.5
Then
∠ H = x = 22.5°
∠ I = 2x = 2 × 22.5° = 45°
∠ J = 5x = 5 × 22.5° = 112.5°