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.

Answer 1

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

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Answer 2

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Answer 3

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Answer 4

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.

Answer 5

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.