Two angles are supplementary if the sum of their measures is 180 degrees.
Given that one angle is 45 degrees, you can find the measure of angle X by using the following equation:
\[ 45 + X = 180 \]
To solve for X, subtract 45 from both sides:
\[ X = 180 - 45 \] \[ X = 135 \]
So, the measure of X is 135 degrees.