Answer:
MNI = 135º
Step-by-step explanation:
From the picture, we have the two internal angles as [tex]6x[/tex] and [tex]15x-12[/tex]. The third, the angle ∠MNL is 180 - 19x-2. Therefore,
[tex]15x-12+6x+(180-19x-2)=180[/tex]
So,
[tex]15x-12+6x+180-19x-2=180[/tex]
[tex]15x-14+6x-19x=0[/tex]
[tex]2x=14[/tex]
[tex]x=7[/tex]
Finally,
∠MNI = 19x+2 ⇒ ∠MNI = 19(7)+2 ⇒ ∠MNI = 135º
