In KLM, if K is equal to L, KL=9x-40, LM=7x-37, and KM= 3x=23, find x

Question

In KLM, if K is equal to L, KL=9x-40, LM=7x-37, and KM= 3x=23, find x and measure of each side

x=

KL=

LM=

KM=

Answer 1

I assume KLM is a triangle and that you mean that angle K is equal to angle L, and KM = 3x+23 (not KM=3x=23). That makes KLM into an isoceles triangle so that KM = LM.

3x + 23 = 7x - 37

Solve for x then plug that value of x into the equations for KL, LM, and KM.