Question 709693
Call the three angles a,b,and c

1)  a=2(b+c)-24(degrees)  Given
2)  a+b+c=180(degrees)  Sum of angles of a triangle=180(degrees)
3)  (b+c)=180(degrees)-a  Subtract a from both sides of 2)
4)  a=2(180(degrees)-a)-24(degrees)  Substitute value of (b+c) from 3) in 1)
5)  a=360(degrees)-2a-24(degrees)  Distribute 2 over parenthesis in 4)
6)  3a=360(degrees)-24(degrees) Add 2a to both sides of 5)
7)  3a=336(degrees) Combine terms in 6)
8)  a=112(degrees)  Divide 7) by 3
9)  (b+c)=180(degrees)-112(degrees) Rearrange 2)
10) (b+c)=68(degrees) combine terms in 9)
Therefore a=112(degrees) is the largest angle.

Note that we don't know what angle b or c equals individually, but we don't need that information to solve for the largest angle.