m∠A = 2x°m∠B = 5x°m∠C = 11x°

We know that the addition of the angles of a triangle makes 180°, therefore:

m∠A + m∠B + m∠C = 180°

Replacing with data and solving for x:

2x + 5x + 11x = 180

18x = 180

x = 180/18

x = 10°

Which makes the angles:

m∠A = 2*10 = 20°

m∠B = 5*10 = 50°

m∠C = 11*10 = 110°

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