Final answer:
To find the measures of the angles in a triangle with a ratio of 6:4:5, you multiply each part of the ratio by the same factor, x, so that the sum of the angles is 180 degrees. Solving for x gives 12 degrees, therefore the measures of the angles are 72 degrees, 48 degrees, and 60 degrees.
Step-by-step explanation:
The student's question is asking to find the measures of the angles in a triangle with a given ratio of 6:4:5. We know that the sum of angles in any triangle is 180 degrees. To find the individual angles, we would denote the common factor by which the ratio numbers must be multiplied as x.
So the measures of the angles would be: