If two angles are supplementary, their measures add up to 180 degrees.
Given that angle X and angle 100° are supplementary, we can set up the following equation:
\[ X + 100° = 180° \]
To find the measure of angle X, subtract 100° from both sides:
\[ X = 180° - 100° = 80° \]
Therefore, the measure of angle X is:
\[ X = 80° \]
So, \( x = [80]° \).