Question 1097155
<pre>
Let k be a number such that the angles are 
4k°, 
5k°, and 
6k° so they will be in the ratio 4:5:6

4k° + 5k° + 6k° = 180°
           15k° = 180°
             k° = 12°
              k = 12
  
The angles are 
4k° = 4(12)° = 48°, 
5k° = 5(12)° = 60°, and 
6k° = 6(12)° = 72°

Edwin</pre>