In a parallelogram, opposite angles are equal and adjacent angles are supplementary. Since the interior angle at point Y measures 30 degrees, the angle at point W (which is opposite to angle Y) also measures 30 degrees.
The angles at points X and Y are adjacent, so their measures add up to 180 degrees. Therefore, we can find the measure of angle X as follows:
\[ \text{Angle X} + \text{Angle Y} = 180^\circ \] \[ \text{Angle X} + 30^\circ = 180^\circ \] \[ \text{Angle X} = 180^\circ - 30^\circ = 150^\circ \]
Thus, the measure of the interior angle at point X is 150 degrees.
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