A parallelogram is a special type of quadrilateral where opposite angles are equal, and the sum of adjacent angles is supplementary, meaning they add up to 180 degrees.
Given that one angle measures 80 degrees, we can determine the measures of the remaining angles as follows:
- The angle opposite to the 80-degree angle is equal to it, so that angle is also 80 degrees.
- The two adjacent angles to the 80-degree angle must be calculated. Since the adjacent angles are supplementary, we can subtract the 80 degrees from 180 degrees:
- 180 degrees – 80 degrees = 100 degrees.
Thus, the measures of the remaining angles in the parallelogram are as follows:
- First angle: 80 degrees
- Second angle: 100 degrees
- Third angle: 80 degrees
- Fourth angle: 100 degrees
In summary, the angles of the parallelogram are 80 degrees, 100 degrees, 80 degrees, and 100 degrees.