In a parallelogram, opposite angles are equal and adjacent angles are supplementary. Since angle Y measures 30 degrees, angle X, which is adjacent to angle Y, can be found using the fact that the two angles must sum to 180 degrees.
Thus, we calculate the measure of angle X as follows:
\[ \text{Angle X} = 180^\circ - \text{Angle Y} = 180^\circ - 30^\circ = 150^\circ \]
Therefore, the measure of the interior angle at point X is 150 degrees.
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