Final answer:
The actual measures of the angles in the triangle are 45 degrees, 60 degrees, and 75 degrees.
Step-by-step explanation:
The sum of the angles in a triangle is always 180 degrees. We can set up an equation to find the values of x:
3x + 4x + 5x = 180
12x = 180
x = 15
Now we can substitute x back into the angles to find their actual measures:
3x = 45 degrees
4x = 60 degrees
5x = 75 degrees
Therefore, the actual measures of the angles in the triangle are 45 degrees, 60 degrees, and 75 degrees.
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