Question

1. an angle of a parallelogram measures 108°. list the other angles.

Explanation:

Step1: Recall parallelogram angle rules

In a parallelogram, opposite angles are equal, and consecutive angles are supplementary (sum to $180^\circ$).

Step2: Find consecutive angle

Given one angle is $10^\circ$, its consecutive angle is $180^\circ - 10^\circ = 170^\circ$.

Step3: Identify remaining angles

Opposite angles are equal, so the angle opposite $10^\circ$ is $10^\circ$, and the angle opposite $170^\circ$ is $170^\circ$.

Answer:

$10^\circ$, $170^\circ$, $170^\circ$