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
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°.