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In parallelogram WXYZ

, the interior angle of X
measures 35 degrees and the interior angle of Z
also measures 35 degrees. What are the interior angle measures of W
and Y
?(1 point)
The interior angle of W
measures
degrees and the interior angle of Y
measures
degrees.

1 answer

In a parallelogram, opposite angles are equal and consecutive angles are supplementary (they add up to 180 degrees).

Given:

  • Angle X = 35 degrees
  • Angle Z = 35 degrees

Since angles X and Z are opposite angles, angle W will also measure 35 degrees (angles W and Z are opposite).

To find angle Y, we can use the supplementary property:

  • Angle W + Angle X = 180 degrees
  • Therefore, Angle Y = 180 degrees - Angle X = 180 degrees - 35 degrees = 145 degrees.

So,

  • The interior angle of W measures 145 degrees.
  • The interior angle of Y measures 35 degrees.

Final answers:

  • The interior angle of W measures 145 degrees.
  • The interior angle of Y measures 145 degrees.