The measures of the angles in a triangle are in the extended ratio 3:4:5. Find the measures of the angles.

show work

x =      
m∠1 =      °
m∠2 =      °
m∠3 =      °

3 answers

The angles are 3x,4x,5x

Sum them up and you have 12x=180

Now find x, and thus the angles.
Angle 1 = 45
Angle 2 = 60
Angle 3 = 75
x = 15
I followed Steve's approach and that's what I got. I divided 12 by 180 and got 15 then multiplied 3, 4, and 5. That's how I got 45, 60, and 75.