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.

Answer 1

Supplementary angles are pairs of angles that add up to 180°. To find the two angles that form a supplementary pair, we need to check which two angle measures add up to 180°.

75° + 103° = 178° (not equal to 180°)
75° + 86° = 161° (not equal to 180°)
75° + 94° = 169° (not equal to 180°)
103° + 86° = 189° (not equal to 180°)
103° + 94° = 197° (not equal to 180°)
86° + 94° = 180°

Therefore, the angles 86° and 94° form a supplementary pair.