Let [tex]x=[/tex] the measure of the smaller angle
The measure of the larger angle is then [tex]14x[/tex]
So we get
[tex]x+14x=180^{o}[/tex]
[tex]\rightarrow 15x=180^{o}[/tex]
[tex]\rightarrow x=12^{o}[/tex] is the smaller angle
The larger angle is [tex]14x=14*12^{o}=168^{o}[/tex]