Given triangle KLM is CONGRUENT to triangle NOP, KL = 2y, LM= 6, KM = 8, NP = 2x-2y, and ON = X. Determine the measures of x and y.

I drew out the two triangles and I know I’m gonna have to solve to get x and y but the two variables are confusing me so I’m not sure what I have to set them equal to.

If anyone could explain where to go or how they solved it would be greatly appreciated.

2 answers

Matching up the corresponding sides, you have

2y = x
2x-2y = 8
so, substituting, you get

2(2y)-2y = 8
solve for y, then you can get x.
Alright so would x=8 and y=4