Question

one angle of a parallelogram measures 43°. 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 \(A = 43^{\circ}\). An adjacent angle \(B\) satisfies \(A + B=180^{\circ}\). So \(B = 180 - 43=137^{\circ}\).

Step3: Identify the other angles

The angle opposite the \(43^{\circ}\) angle is also \(43^{\circ}\), and the angle opposite the \(137^{\circ}\) angle is \(137^{\circ}\).

Answer:

43, 137, 137