Question

converse parallelogram proofs practice
complete this assessment to review what youve learned. it will not count toward your grade.

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 ( square ) degrees and the interior angle of ( y ) measures ( square ) degrees.

Explanation:

Step1: Recall properties of parallelogram

In a parallelogram, consecutive angles are supplementary (sum to \(180^{\circ}\)), and opposite angles are equal.

Step2: Find measure of \(\angle W\) and \(\angle Y\)

Since \(\angle X = 35^{\circ}\), and \(\angle W\) is consecutive to \(\angle X\), then \(\angle W=180 - 35\).

$$180-35 = 145$$

Also, \(\angle Y\) is opposite to \(\angle W\), so \(\angle Y=\angle W = 145^{\circ}\)

Answer:

The interior angle of \(W\) measures \(145\) degrees and the interior angle of \(Y\) measures \(145\) degrees.