Question

1. a parallelogram has one angle that measures 175°. 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 $\angle A = 175^\circ$. The consecutive angle $\angle B$ satisfies:
$\angle B = 180^\circ - 175^\circ = 5^\circ$

Step3: Identify opposite angles

Opposite angle of $\angle A$ is $\angle C = 175^\circ$, opposite angle of $\angle B$ is $\angle D = 5^\circ$.

Answer:

The other angles measure $5^\circ$, $175^\circ$, and $5^\circ$.