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Question
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:
°

Answer 1

To determine which two angles are supplementary, we need to find a pair of angles that add up to 180°.

Let's check the pairs of angles:

1. 34° and 146°:
   \(34° + 146° = 180°\) (Supplementary)

2. 34° and 105°:
   \(34° + 105° = 139°\) (Not supplementary)

3. 34° and 97°:
   \(34° + 97° = 131°\) (Not supplementary)

4. 105° and 97°:
   \(105° + 97° = 202°\) (Not supplementary)

5. 105° and 146°:
   \(105° + 146° = 251°\) (Not supplementary)

6. 146° and 97°:
   \(146° + 97° = 243°\) (Not supplementary)

The only pair that sums to 180° is 34° and 146°.

Therefore:

Smaller angle: 34°
Larger angle: 146°