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:
°

1 answer

To determine which two angles are supplementary, we need to check for pairs of angles that add up to 180°.

Let’s calculate:

  1. 89° + 135° = 224° (not supplementary)
  2. 89° + 112° = 201° (not supplementary)
  3. 89° + 68° = 157° (not supplementary)
  4. 135° + 112° = 247° (not supplementary)
  5. 135° + 68° = 203° (not supplementary)
  6. 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°