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A geometric figure has angles with the following measurements: 75°

, 103°
, 86°
, 94°
. 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 answer

To find the supplementary angles, we need to identify pairs of angles that sum up to 180°.

Let's check the given angles:

  1. 75° + 103° = 178° (not supplementary)
  2. 75° + 86° = 161° (not supplementary)
  3. 75° + 94° = 169° (not supplementary)
  4. 103° + 86° = 189° (not supplementary)
  5. 103° + 94° = 197° (not supplementary)
  6. 86° + 94° = 180° (supplementary)

The angles that are supplementary are 86° and 94°.

Thus, the smaller angle is 86° and the larger angle is 94°.

So, the answer is: 86°, 94°