Answer∠ A = 40° , ∠ B = 60° , ∠ C = 80°
Explanation:
the sum of the angles in a triangle is 180°
given the angles are in the ratio 2 : 3 : 4 = 2x : 3x : 4x
sum the 3 ratios , equate to 180 and solve for x
2x + 3x + 4x = 180
9x = 180 ( divide both sides by 9 )
x = 20
Then
∠ A = 2x = 2 × 20 = 40°
∠ B = 3x = 3 × 20 = 60°
∠ C = 4x = 4 × 20 = 80°