Question

one angle of a parallelogram measures 121°. 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 \(A = 121^{\circ}\). An adjacent angle \(B\) satisfies \(A + B=180^{\circ}\). So \(B = 180 - 121=59^{\circ}\).

Step3: Identify opposite angles

The angle opposite the \(121^{\circ}\) angle has the same measure, i.e., \(121^{\circ}\), and the angle opposite the \(59^{\circ}\) angle has a measure of \(59^{\circ}\).

Answer:

59, 121, 59