If measure knl = 6x - 4 and measure lnm = 4x + 24, find the value of x so that knm is a right angle

We are not given with the diagram or sketch the angles that are being referred to in this item but it is easy to conclude that angles knl and lnm are complementary. This means that their sum is a right angle with measure equal to 90°. The angles share a common leg that is the segment ln. 

The value of x can be computed by adding up the expressions for knl and lnm and equate it to 90. That is,
         (6x - 4) + (4x + 24) = 90

Simplifying the equation will give us,
      10x = 70
Dividing both sides by 10 will give us the final value for x which is equal to 7. 

ANSWER: x = 7

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Ithink that the missing word is mixed