In a parallelogram, opposite angles are equal and the sum of all angles is 360 degrees. If one angle measures 80 degrees, its opposite angle will also measure 80 degrees.
To find the remaining angles, we can use the fact that adjacent angles in a parallelogram are supplementary, meaning they add up to 180 degrees. Therefore, the adjacent angles to the 80-degree angles can be calculated as follows:
180 degrees – 80 degrees = 100 degrees
So, the measures of the remaining angles are 100 degrees. To summarize:
- One angle: 80 degrees
- Opposite angle: 80 degrees
- One adjacent angle: 100 degrees
- Opposite adjacent angle: 100 degrees
In conclusion, the measures of the angles in the parallelogram are 80 degrees, 80 degrees, 100 degrees, and 100 degrees.