Question

one angle of a parallelogram measures 80°. 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 $\angle A = 80^{\circ}$. An adjacent angle $\angle B$ satisfies $\angle A+\angle B = 180^{\circ}$. So, $\angle B=180 - 80=100^{\circ}$.

Step3: Find the opposite angles

The angle opposite to the $80^{\circ}$ angle has the same measure, i.e., $80^{\circ}$. The angle opposite to the $100^{\circ}$ angle has a measure of $100^{\circ}$.

Answer:

80, 100, 100