Question

a parallelogram has one angle that measures 33°. what are the measures of the other three angles in the parallelogram? °, °, and °

Explanation:

Step1: Recall parallelogram angle - properties

In a parallelogram, opposite angles are equal and adjacent angles are supplementary (sum to 180°).

Step2: Find the opposite angle

The angle opposite to the 33° angle has the same measure. So one of the other angles is 33°.

Step3: Find the adjacent angles

Let the adjacent angle to the 33° angle be \(x\). We know that \(33 + x=180\). Solving for \(x\), we get \(x = 180 - 33=147\). The other adjacent - angle (opposite to this one) also has a measure of 147°.

Answer:

147, 33, 147