A geometric figure has angles with the following measurements: 89° , 135° , 112° , 68° . 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.
In a supplementary pair, the two angles add up to 180°.
Given the angle measures: 89°, 135°, 112°, 68°.
Let's check which pairs add up to 180°:
1. 89° + 135° = 224° (not equal to 180°)
2. 89° + 112° = 201° (not equal to 180°)
3. 89° + 68° = 157° (not equal to 180°)
4. 135° + 112° = 247° (not equal to 180°)
5. 135° + 68° = 203° (not equal to 180°)
6. 112° + 68° = 180° (equal to 180°)
Therefore, the two angle measures that correspond to a supplementary pair are 112° and 68°.