In a parallelogram, opposite angles are equal and consecutive angles are supplementary. Since angles X and Z both measure 35 degrees, angles W and Y will be equal to each other and supplementary to angles X and Z.
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Knowing the angle at X: \[ \text{Angle W} + \text{Angle X} = 180^\circ \] \[ \text{Angle W} + 35^\circ = 180^\circ \] \[ \text{Angle W} = 180^\circ - 35^\circ = 145^\circ \]
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Since angle Y is opposite angle W, we have: \[ \text{Angle Y} = \text{Angle W} = 145^\circ \]
Therefore, the interior angle of W measures 145 degrees and the interior angle of Y measures 145 degrees.
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