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

Two angles are supplementary if their measures add up to 180°. Let's check each pair of angles from the given measurements: 34°, 105°, 146°, and 97°.

• 34° + 105° = 139° (not supplementary)
• 34° + 146° = 180° (supplementary)
• 34° + 97° = 131° (not supplementary)
• 105° + 146° = 251° (not supplementary)
• 105° + 97° = 202° (not supplementary)
• 146° + 97° = 243° (not supplementary)

The supplementary pair found is 34° and 146°.

Thus, we list them as follows:

Smaller angle: 34°

Larger angle: 146°