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.(1 point)
Smaller angle:
°
Larger angle:
The sum of the measures of two supplementary angles is always 180 degrees. Therefore, we need to find two angles that add up to 180 degrees.
To do this, we can check each pair of angles and see if they add up to 180 degrees:
89° + 135° = 224° (not a pair of supplementary angles)
89° + 112° = 201° (not a pair of supplementary angles)
89° + 68° = 157° (not a pair of supplementary angles)
135° + 112° = 247° (not a pair of supplementary angles)
135° + 68° = 203° (not a pair of supplementary angles)
112° + 68° = 180° (a pair of supplementary angles)
Therefore, the pair of angles that are supplementary is 112° and 68°.
Smaller angle: 68°
Larger angle: 112°