Question

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

Explanation:

Step1: Recall parallelogram angle properties

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

Step2: Find consecutive angle

Let the given angle be $\angle A = 155^\circ$. The consecutive angle $\angle B$ satisfies $\angle A + \angle B = 180^\circ$.
$\angle B = 180^\circ - 155^\circ = 25^\circ$

Step3: Identify remaining angles

Opposite angles are equal, so $\angle C = \angle A = 155^\circ$, $\angle D = \angle B = 25^\circ$.

Answer:

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