Answer:
41.25°
Step-by-step explanation:
Second path ahd third path intersecting form the angle with measure 3x-1.
Three angles 3x-1, 9x-7 and 19° together form straight angle. Hence,
[tex]3x-1+9x-7+19^{\circ}=180^{\circ},\\ \\12x=180-19+8,\\ \\12x=169^{\circ},\\ \\x=\dfrac{169}{12}^{\circ}.[/tex]
Now the angle between the second and third paths is
[tex]3x-1=3\cdot \dfrac{169}{12}-1=\dfrac{169}{4}-1=\dfrac{169-4}{4}=\dfrac{165}{4}=41.25^{\circ}[/tex]
