Question

one angle of a parallelogram measures 60°. what are the measures of the other three angles in the parallelogram? \boxed{\space}°, \boxed{\space}°, and \boxed{\space}°

Explanation:

Step1: Use opposite angles property

In a parallelogram, opposite angles are equal. So one angle is $60^\circ$.

Step2: Use consecutive angles property

Consecutive angles are supplementary (sum to $180^\circ$). Calculate the adjacent angle:
$180^\circ - 60^\circ = 120^\circ$

Step3: Identify remaining angle

The fourth angle is equal to the adjacent angle, so it is $120^\circ$.

Answer:

$60^\circ$, $120^\circ$, and $120^\circ$