Answer: [tex]78^{\circ}, 102^{\circ}[/tex]
Step-by-step explanation:
Given
An angle measure [tex]24^{\circ}[/tex] more than its supplementary angle
Let the first angle be [tex]x[/tex]
So, another angle is [tex]x+24^{\circ}[/tex]
Also, the sum of the supplementary angles is [tex]180^{\circ}[/tex]
[tex]\therefore x+x+24^{\circ}=180^{\circ}\\\Rightarrow 2x=180^{\circ}-24^{\circ}\\\Rightarrow 2x=156^{\circ}\\\Rightarrow x=78^{\circ}[/tex]
So, the angles are [tex]78^{\circ}, 102^{\circ}[/tex]
