A geometric figure has angles with the following measurements: 75°

Question

, 103°
, 86°
, 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 a pair of angles that are supplementary, we need to identify two angles whose measures add up to 180°.

Let's check the pairs of angles:

1. \(75°\) and \(103°\): \(75 + 103 = 178°\) (not supplementary)
2. \(75°\) and \(86°\): \(75 + 86 = 161°\) (not supplementary)
3. \(75°\) and \(94°\): \(75 + 94 = 169°\) (not supplementary)
4. \(103°\) and \(86°\): \(103 + 86 = 189°\) (not supplementary)
5. \(103°\) and \(94°\): \(103 + 94 = 197°\) (not supplementary)
6. \(86°\) and \(94°\): \(86 + 94 = 180°\) (supplementary)

We found that \(86°\) and \(94°\) form a supplementary pair.

Smaller angle: \(86°\)

Larger angle: \(94°\)