Plsss help meee 45 points plus brainliest

Hello There!!
Let us call X the equal distances GH = HI = IJ
GH = X
HI = X
IJ = X
Note that HJ = HI + IJ, so
HJ = X + X
10 = 2X
X = 5
Well, We're looking at figure we can conclude that:
GJ + JK = GK
GJ = GH + HI + IJ
GJ = 15
GJ + JK = GK
15 + JK = 24
JK = 9
GH = X = 5
HI = X = 5
IJ = X = 5
JK = 9
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