Complementary angles are two angles whose measures add up to 90 degrees.
Given that one angle measures 85°, we can find the measure of angle X:
\[ X + 85° = 90° \]
To find X, subtract 85° from both sides:
\[ X = 90° - 85° \] \[ X = 5° \]
Thus, the measure of angle X is:
\[ x = 5° \]