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.

Answer 1

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

Given:

• Interior angle at X = 35 degrees
• Interior angle at Z = 35 degrees

Since Z is opposite to X, we know that angle Z = angle X = 35 degrees.

Now, to find the measures of angles W and Y: Since adjacent angles are supplementary:

• Angle W + Angle X = 180 degrees
• Angle W + 35 degrees = 180 degrees

So, Angle W = 180 degrees - 35 degrees = 145 degrees.

Since Y is opposite to W, angle Y = angle W = 145 degrees.

Therefore:

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

Final answer: The interior angle of W measures 145 degrees and the interior angle of Y measures 145 degrees.