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If the ratio of the angles ofa triangle is 2:3:4, what is the degree measure of the

largest angle?
O 20 degrees
O 40 degrees
O 6degrees
O 80 degrees

1 Answer

1 vote

Final answer:

The degree measure of the largest angle is 80 degrees.


Step-by-step explanation:

If the ratio of the angles of a triangle is 2:3:4, we can determine the degree measures of the angles by finding their total ratio. The total ratio of the angles in a triangle is always 180 degrees. To find the degree measure of each angle, we divide 180 by the sum of the ratios, which is 2 + 3 + 4 = 9. Now, to find the measurement of the largest angle, we multiply its ratio (4) by the degree measure we obtained: (4/9) x 180 = 80 degrees. Therefore, the degree measure of the largest angle is 80 degrees.


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