The value of x will be 7 degree.
Explanation
Given that, ∠KNL = 6x - 4 and ∠LNM = 4x + 24
Now, if ∠KNM is a right angle , then ∠KNL + ∠LNM = 90°
Thus, the equation will be.....
[tex](6x-4)+(4x+24)=90\\ \\ 10x+20=90\\ \\ 10x=90-20\\ \\ 10x=70\\ \\ x=\frac{70}{10}=7[/tex]
So, the value of x will be 7 degree.
