Question

one angle of a parallelogram measures 172°. what are the measures of the other three angles in the parallelogram?

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 \(A = 172^{\circ}\). An adjacent angle \(B\) satisfies \(A + B=180^{\circ}\). So \(B = 180 - 172=8^{\circ}\).

Step3: Find the other two angles

The angle opposite the given \(172^{\circ}\) angle has the same measure, i.e., \(172^{\circ}\), and the angle opposite the \(8^{\circ}\) angle has a measure of \(8^{\circ}\).

Answer:

8, 172, 8