Question

a parallelogram has one angle that measures 134°. what are the measures of the other three angles in the parallelogram? __°, °, and __°.

Explanation:

Step1: Recall parallelogram angle properties

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

Step2: Find opposite angle

The angle opposite to $134^\circ$ is equal to it, so one angle is $134^\circ$.

Step3: Calculate consecutive angles

Subtract $134^\circ$ from $180^\circ$:
$180^\circ - 134^\circ = 46^\circ$

Step4: Identify the fourth angle

The angle opposite to $46^\circ$ is equal to it, so the fourth angle is $46^\circ$.

Answer:

$134^\circ$, $46^\circ$, and $46^\circ$