In geometry, two angles are supplementary if their measures add up to 180 degrees.
Given that one angle is 30 degrees and the other angle is \(X\), you can set up the following equation:
\[ 30 + X = 180 \]
To find \(X\), subtract 30 from both sides:
\[ X = 180 - 30 \] \[ X = 150 \]
Therefore, the measure of \(X\) is \(150\) degrees.