Question

a parallelogram has one angle that measures 169°. 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 an adjacent angle

Let the given angle \(A = 169^{\circ}\). An adjacent angle \(B\) satisfies \(A + B=180^{\circ}\). So \(B = 180 - 169=11^{\circ}\).

Step3: Determine the other two angles

The angle opposite the \(169^{\circ}\) angle has the same measure, i.e., \(169^{\circ}\), and the angle opposite the \(11^{\circ}\) angle has a measure of \(11^{\circ}\).

Answer:

11, 169, 11