Question

If angle KNL = 6 x -4 and angle LNM= 4x + 24 find the value of x so that angle KNM is a right angle

Answer 1

The value of x will be 7 degree.

Step-by-step 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.....

`(6x-4)+(4x+24)=90\\ \\ 10x+20=90\\ \\ 10x=90-20\\ \\ 10x=70\\ \\ x=(70)/(10)=7`

So, the value of x will be 7 degree.