the answer
the complement of the question is
What is the value of y?
2
5
7
8
According to the image, HKJ and FGH are similar, we can apply the theorem of thales
since GK and GF are parallels, so
HK / HF = HJ / HG = KJ / GF and as we see on the figure, HK = HF /2, this implies 2HK =HF
HK / 2HK = KJ / GF it is equivalent to 1/2 = 2y+5 / 5y +3
likewise, equivalent to 5y +3 = 4y +10, 5y-4y = 10-3, and y = 7
so the answer is 7