Given data:
The given angle N is (9x+8)°.
The given angle O is (4x+13)°.
The given angle P is (2x-6)°.
The expression for the angle sum property is,
[tex]\begin{gathered} \angle N+\angle O+\angle P=180^{\circ} \\ (9x+8)^{\circ}+(4x+13)^{\circ}+(2x-6)^{\circ}=180^{\circ} \\ 15x+15=180 \\ x=11 \end{gathered}[/tex]
Substitute 11 for x in the first angle .
[tex]\begin{gathered} \angle N=(9(11)+8)^{\circ} \\ =107^{\circ} \end{gathered}[/tex]
Thus, the value of angle N is 107 degrees.
