Question

1. a parallelogram has one angle that measures 155°. what are the measures of the other angles?

Explanation:

Step1: Find adjacent angle

Adjacent angles in a parallelogram are supplementary.
$\text{Adjacent angle} = 180^\circ - 155^\circ = 25^\circ$

Step2: Identify congruent angles

Opposite angles in a parallelogram are equal.
So the angle opposite $155^\circ$ is $155^\circ$, and the angle opposite $25^\circ$ is $25^\circ$.

Answer:

The other angles are $25^\circ$, $155^\circ$, and $25^\circ$.