Question

one angle of a parallelogram measures 113°. what are the measures of the other three angles in the parallelogram? __°, °, and __°

Explanation:

Step1: Use paralleram angle property

In a parallelogram, opposite angles are equal. So the angle opposite to the given $113^\circ$ angle is also $113^\circ$.

Step2: Find adjacent angle measure

Adjacent angles in a parallelogram are supplementary (sum to $180^\circ$). Let the adjacent angle be $x$.
$x = 180^\circ - 113^\circ = 67^\circ$

Step3: Identify final opposite angle

The angle opposite to the $67^\circ$ angle is also $67^\circ$.

Answer:

$67^\circ$, $113^\circ$, and $67^\circ$