Question

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

Answer 1

Two angles are supplementary if their measures add up to 180°.

Let's check the pairs from the given angles:

1. \(34° + 105° = 139°\)
2. \(34° + 146° = 180°\) (This is a supplementary pair)
3. \(34° + 97° = 131°\)
4. \(105° + 146° = 251°\)
5. \(105° + 97° = 202°\)
6. \(146° + 97° = 243°\)

Thus, the supplementary angles are \(34°\) and \(146°\).

**Smaller angle: 34°**

**Larger angle: 146°**