Question

1. an angle of a parallelogram measures 30°. list the measures of the other angles.

Explanation:

Step1: Recall parallelogram angle property

Opposite angles in a parallelogram are equal. So one other angle is $30^\circ$.

Step2: Find supplementary angle

Adjacent angles in a parallelogram are supplementary (sum to $180^\circ$).
$180^\circ - 30^\circ = 150^\circ$

Step3: Identify the fourth angle

The fourth angle equals the supplementary angle, so it is $150^\circ$.

Answer:

The other angles are $30^\circ$, $150^\circ$, and $150^\circ$.