Find the measures of angles in triangle ABC if m∠A: m∠B: m∠C = 2:3:4

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m∠A = 40; m∠B = 60; m∠C = 80

Step-by-step explanation:

Sum of all three angles of the triangle = 180 degrees

Ratio of A:B:C = 2:3:4

Let us represent A as 2x, B as 3x and C as 4x.

Expressing the sum of the angles in equation format:

2x+3x+4x = 180

=>9x = 180

=> x = 20

Computing the individual angles:

A = 2 * 20 = 40

B = 3 * 20 = 60

C = 4*20 = 80

So the three angles of the triangle are 40,60 and 80 degrees respectively.

If we add all the three angles, we get 180 as the sum.