Final answer:
To determine the other two angle measurements in a triangle where one angle measures 80 degrees, subtract that angle from the total of 180 degrees, then provide pairs that sum to 100 degrees.
Step-by-step explanation:
Given that one angle of a triangle measures 80 degrees, we know that the sum of the angles in a triangle equals 180 degrees. Therefore, to find the possible measures of the other two angles, we subtract the known angle from 180 to get the sum of the remaining angles:
180 degrees - 80 degrees = 100 degrees
The remaining two angles must sum to 100 degrees. Some possible pairs of angle measurements for the other two angles could be:
- 50 degrees and 50 degrees (an isosceles triangle)
- 40 degrees and 60 degrees
- 30 degrees and 70 degrees
- 20 degrees and 80 degrees
Any pair of angles that add up to 100 degrees would be a correct answer.