Final answer:
The pair of supplementary angles from the given options is 81 and 99.
Step-by-step explanation:
In this question, we need to find the pairs of angles that are supplementary. Supplementary angles are two angles whose sum is equal to 180 degrees.
Out of the given options:
- 75 and 75 do not sum up to 180 degrees, so they are not supplementary.
- 90 and 15 sum up to 105 degrees, so they are not supplementary.
- 101 and 89 sum up to 190 degrees, so they are not supplementary.
- 81 and 99 sum up to 180 degrees, so they are supplementary.
- 80 and 10 do not sum up to 180 degrees, so they are not supplementary.
Therefore, the correct pair of supplementary angles from the given options is 81 and 99.