Question

Find the measurement of angles in triangle ABC if the measure of angle a measure angle B measure angle C equals 2:3:4

Answer 1

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°