Question

a parallelogram has one angle that measures 101°. what are the measures of the other three angles in the parallelogram?

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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 \(A = 101^{\circ}\). An adjacent angle \(B\) satisfies \(A + B=180^{\circ}\). So \(B = 180 - 101=79^{\circ}\).

Step3: Identify opposite angles

The angle opposite the \(101^{\circ}\) angle has the same measure, i.e., \(101^{\circ}\), and the angle opposite the \(79^{\circ}\) angle has a measure of \(79^{\circ}\).

Answer:

79, 101, 79