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.
Smaller angle:
°
Larger angle:
The sum of the measures of two supplementary angles is always 180°. To figure out which two angle measures correspond to a supplementary pair, we need to find two angles whose sum is 180°.
Let's add the angle measures one by one:
75° + 103° = 178°
75° + 86° = 161°
75° + 94° = 169°
103° + 86° = 189°
103° + 94° = 197°
86° + 94° = 180°
Therefore, the two angle measures that correspond to a supplementary pair are 86° and 94°.
Smaller angle: 86°
Larger angle: 94°