Question

1. a parallelogram has one angle that measures 60°. 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: Identify equal opposite angle

Given one angle is $60^\circ$, its opposite angle is also $60^\circ$.

Step3: Calculate consecutive angles

Let the unknown angle be $x$.
$x + 60^\circ = 180^\circ$
$x = 180^\circ - 60^\circ = 120^\circ$

Step4: State the other opposite angle

The angle opposite to $120^\circ$ is also $120^\circ$.

Answer:

The other angles are $60^\circ$, $120^\circ$, and $120^\circ$.