To determine which two angles are supplementary, we need to check for pairs of angles that add up to 180°.
Let’s calculate:
- 89° + 135° = 224° (not supplementary)
- 89° + 112° = 201° (not supplementary)
- 89° + 68° = 157° (not supplementary)
- 135° + 112° = 247° (not supplementary)
- 135° + 68° = 203° (not supplementary)
- 112° + 68° = 180° (this is a supplementary pair)
Therefore, the smaller angle is 68° and the larger angle is 112°.
Smaller angle: 68°
Larger angle: 112°