Which theorem or postulate can be used to determine m<MKL? What is m<MKL ?

Question

For the figure, m<JKL=54

angle k-j (3x +6)

angle K-L (6x + 12)

angle k-m

so sorry i can´t add the image hope this makes sense

Answer 1

Is this a quadrilateral? Parallelogram? Or just lines intersecting to form angles? Could you please describe the figure if you can’t add the image? And what do you mean by angle k-j ?

Answer 2

I think the angle addition postulate would apply here:

m<JKM + m<MKL = m<JKL

where m<JKM = 3x + 6

m<MKL = 6x + 12

and m<JKL = 54

substituting:

3x + 6 + 6x + 12 = 54

9x + 18 = 54

9x = 36

x = 4

m<JKM = 3x + 6 = 3*4 + 6 = 18

m<MKL = 6x + 12 = 6*4 + 12 = 36