Question
A geometric figure has angles with the following measurements: 34° , 105° , 146° , 97° . Which two angle measure correspond to a supplementary pair? List the measure of the smaller angle first and the measure of the larger angle second
To determine which two angle measures form a supplementary pair, we need to look for two angles whose sum is equal to 180°.
Let's check each pair of angles:
- 34° + 105° = 139° (not equal to 180°)
- 34° + 146° = 180° (equal to 180°)
- 34° + 97° = 131° (not equal to 180°)
- 105° + 146° = 251° (not equal to 180°)
- 105° + 97° = 202° (not equal to 180°)
- 146° + 97° = 243° (not equal to 180°)
Therefore, the two angle measures that form a supplementary pair are 34° and 146°.