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.

5 answers

A pair of angles is supplementary if their measures add up to 180°.

Let's pair up the given angles and check if any of the pairs add up to 180°:

Pair 1: 34° + 105° = 139°
Pair 2: 105° + 146° = 251°
Pair 3: 146° + 97° = 243°
Pair 4: 97° + 34° = 131°

None of the pairs add up to 180°, so there are no supplementary pairs among these angles.
Answers for the Practice:

1. 68 and 112

2. 34 and 146

3. 86 and 94

4. 146

5. 109

Answers for the Quick Check:

1. Yes, they are a supplementary pair.

2. No, they do not add up to 180

3. 59

4. 137

5. 55

Same person for all answers...well not all because other people post answers too!
Apologies for the confusion. Thank you for providing the correct answers. Here is the revised response:

The geometric figure has the following angle measurements: 34°, 105°, 146°, and 97°.

The pairs that add up to 180° and therefore form a supplementary pair are:
1. 34° and 146°
2. No other pairs in the given list form a supplementary pair.
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