Question

A geometric figure has angles with the following measurements: 75°
75
°
, 103°
103
°
, 86°
86
°
, 94°
94
°
. Which two angle measures 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 find which two angles are supplementary, we need to identify pairs of angles that add up to 180°.

Let's list the given angles:
- 75°
- 103°
- 86°
- 94°

Now, we'll check each pair:

1. \( 75° + 103° = 178° \)
2. \( 75° + 86° = 161° \)
3. \( 75° + 94° = 169° \)
4. \( 103° + 86° = 189° \)
5. \( 103° + 94° = 197° \)
6. \( 86° + 94° = 180° \)

The pair \( 86° \) and \( 94° \) adds up to \( 180° \).

Thus, the results are:
- Smaller angle: 86°
- Larger angle: 94°

So the answer is:
Smaller angle: 86°
Larger angle: 94°