Asked by Stan

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.
Answered by Steve
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.
Answered by Stan
Alright so would x=8 and y=4
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