Question

A geometric figure has angles with the following measurements 89 degrees, 135 degrees, 112 degrees, and 68 degrees. Which two angles measured correspond to a supplementary pair?

List the smaller angle first and the measure of the larger angle second

Answer 1

To determine which two angles form a supplementary pair, we need to find a pair of angles whose measures add up to 180 degrees.

The possible pairs of angles could be:
1) 89 degrees + 135 degrees = 224 degrees (not supplementary)
2) 89 degrees + 112 degrees = 201 degrees (not supplementary)
3) 89 degrees + 68 degrees = 157 degrees (not supplementary)
4) 135 degrees + 112 degrees = 247 degrees (not supplementary)
5) 135 degrees + 68 degrees = 203 degrees (not supplementary)
6) 112 degrees + 68 degrees = 180 degrees (supplementary)

Therefore, the pair of angles that form a supplementary pair are 112 degrees and 68 degrees.