Answer:
18
Step-by-step explanation:
One way to solve this would be to just solve for random lengths, left to right, until we come to find UC.
We know JK = JH + HM + MK = 82 and JH = 22, so
82 = 22 + HM + MK
subtract 22 from both sides to isolate the unknowns
60 = HM + MK = HK
96 = HK + KU - HU
We know HK = 60
96 = 60 + KU
subtract 60 from both sides to isolate the unknown
We know KU = 36
105 = KN = KU + UC + CN
We know KU = 36 and CN = 51
105 = 36 + 51 + UC
105 = 87 + UC
subtract 87 from both sides to isolate the unknown
18 = UC
UC is what we're looking for, so the problem is solved
