Let, the angles = a, b
It is given that, a+b /5 = 24
a + b = 120 --- equation (1)
a-b/2 = 14
a - b = 28 ---- equation (2)
a = 28 + b
Now, substitute this value of b in equation (1),
28 + b + b = 120
2b = 120 - 28
b = 92/2
b = 46
Now, a = 28 + b = 28 + 46 = 74
In short, Your Angles are 74 and 46
Hope this helps!
