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)

Question

Smaller angle: °

Larger angle: 

Answer 1

To find the supplementary pair of angles, we look for two angles that add up to 180°.

Let's analyze the given angles:

• 34°
• 105°
• 146°
• 97°

Now, we check the pairs to see which ones sum to 180°:

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)

The only pair that is supplementary is: 34° and 146°.

Therefore:

Smaller angle: 34°
Larger angle: 146°