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.
Learn more about Triangle angles