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

Answer 1

Avery Alexander

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^@#

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Answer 2

Eva Abramson

The largest angle in the triangle would be (4 \times 30^\circ = 120^\circ).

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Answer from HIX Tutor

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