A geometric figure has angles with the following measurements: 34°, 105°, 146°, 97°

. Which two angle measure 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 find a supplementary pair of angles, we need to identify two angles that add up to 180°.

Let's check the angles:

  1. 34° + 105° = 139° (not supplementary)
  2. 34° + 146° = 180° (supplementary)
  3. 34° + 97° = 131° (not supplementary)
  4. 105° + 146° = 251° (not supplementary)
  5. 105° + 97° = 202° (not supplementary)
  6. 146° + 97° = 243° (not supplementary)

From the above calculations, the supplementary pair is:

Smaller angle: 34°
Larger angle: 146°

So the answer is:

  • Smaller angle: 34°
  • Larger angle: 146°