The angles of a triangle are in the ratio of 2:3:4. What is the degree measure of the largest angle?

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Answer 1 · 2018-05-23T03:25:05

Three angles are #color(purple)(40^@, 60^@, 80^@# respectively.

Sum of the three angles of a triangle #= 180^@#

Given the three angles are in the ratio #2:3:4#

Let the angles be #hat A, hat B , hat C#

#hat A = (2/(2+3+4))^180 = color(purple)(40^@#

#hat B = (3/(2+3+4))^180 = color(purple)(60^@#

#hat C = (4/(2+3+4))^180 = color(purple)(80^@#