Question

one angle of a parallelogram measures 100°. what are the measures of the other three angles in the parallelogram?
□°, □°, and □°

Explanation:

Step1: Use consecutive angles sum to 180°

Let the adjacent angle be $x$.
$100^\circ + x = 180^\circ$
$x = 180^\circ - 100^\circ = 80^\circ$

Step2: Use opposite angles congruence

The angle opposite $100^\circ$ is $100^\circ$, and the angle opposite $80^\circ$ is $80^\circ$.

Answer:

$80^\circ$, $100^\circ$, and $80^\circ$