The first angle is
[tex](10x+3)[/tex]The second angle is
[tex](15x-5)[/tex]These two angles are supplementary.
This means that the sum of these two angles is equal to 180°
So, we can write the equation as
[tex](10x+3)+(15x-5)=180[/tex]Now let us solve this equation for x.
[tex]\begin{gathered} 10x+3+15x-5=180 \\ 10x+15x+3-5=180 \\ 25x-2=180 \\ 25x=180+2 \\ 25x=182 \\ x=\frac{182}{25} \\ x=7.28 \end{gathered}[/tex]Now we can find both angles
[tex]\begin{gathered} 10x+3=10(7.28)+3=72.8+3=75.8\degree \\ 15x-5=15(7.28)-5=109.2-5=104.2\degree_{}_{} \end{gathered}[/tex]Therefore,
x = 7.28
first angle = 75.8°
second angle = 104.2°
