Answer:
Angles are [tex]67^0,53^0[/tex]
Step-by-step explanation:
Let the angles be [tex]x,y[/tex]
One fifth of sum of two angles is 24
[tex]\frac{x+y}{5} =24\\\\x+y=120[/tex]
The difference is [tex]14[/tex]
[tex]x-y=14[/tex]
[tex]2x=134\\\\x=67^0[/tex]
[tex]y=120-67\\\\=53^0[/tex]
