A geometric figure has angles with the following measurements: 34°

Question

, 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 two angles whose measures add up to 180°.

Let's check the pairs of angles:

1. \(34° + 105° = 139°\) (not supplementary)
2. \(34° + 146° = 180°\) (this is a supplementary pair)
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 our calculations, the supplementary pair is \(34°\) and \(146°\).

Hence, we have:

Smaller angle: 34°

Larger angle: 146°