Answer:
101°
Step-by-step explanation:
The interior angles indicated add up to the exterior angle <KMN because they are on the opposite side of it. You can substitute these into an equation to find x.
4x + 81 = 13x + 36
Group like terms
4x - 13x = 36 - 81
-9x = -45
Divide both sides of the equation by -9 so x can stand alone
[tex]\frac{-9x}{-9} = \frac{-45}{-9}[/tex]
x = 5
Now to find <KMN, we just have to substitute 5 into the expression
= 13(5) + 36
= 65 + 36
= 101°
