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Given rectangle ABCD with X as the midpoint of AB, we know that angles in a rectangle are right angles. Since CXD is given as 118 degrees, we can find angle ADX. Since angles around point X must sum to 360 degrees, we have ( \angle ADX = 180 - \angle CXD = 180 - 118 = 62 ) degrees. Consequently, since ( \angle XCD ) is supplementary to ( \angle ADX ), ( \angle XCD = 180 - 62 = 118 ) degrees.

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