find the value of x.\nx = \nsubmit

Explanation:

Step1: Set up equation

We know that the sum of the angles $\angle KNL$ and $\angle LNM$ is equal to $\angle KNM$. So, $42+(10x - 3)=89$.

Step2: Simplify left - hand side

First, simplify the left - hand side of the equation: $42+(10x - 3)=42 + 10x-3=39 + 10x$. So the equation becomes $39+10x = 89$.

Step3: Isolate the variable term

Subtract 39 from both sides of the equation: $10x=89 - 39$. $10x=50$.

Step4: Solve for x

Divide both sides of the equation by 10: $x=\frac{50}{10}$. $x = 5$.

Answer:

$5$