Question
A geometric figure has angles with the following measurements: 75°, 103°, 86°, 94°. Which two angle measures correspond to a supplementary pair? List the measure of the smaller angle first and the measure of the larger angle second
Answers
GPT 3.5
Two angles are supplementary if the sum of their measures is 180°. The given angle measures are 75°, 103°, 86°, and 94°. We can consider each pair of angles and sum their measures to check if they are supplementary.
75° + 103° = 178° (not supplementary)
75° + 86° = 161° (not supplementary)
75° + 94° = 169° (not supplementary)
103° + 86° = 189° (not supplementary)
103° + 94° = 197° (not supplementary)
86° + 94° = 180° (supplementary)
So, the pair of angles that are supplementary is 86° and 94°.
75° + 103° = 178° (not supplementary)
75° + 86° = 161° (not supplementary)
75° + 94° = 169° (not supplementary)
103° + 86° = 189° (not supplementary)
103° + 94° = 197° (not supplementary)
86° + 94° = 180° (supplementary)
So, the pair of angles that are supplementary is 86° and 94°.