A geometric figure has angles with the following measurements: 89°

Question

, 135°
, 112°
, 68°
. 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 look for two angles that add up to 180°.

Here are the angles given:

• 89°
• 135°
• 112°
• 68°

Now, let's check each pair:

1. 89° + 135° = 224° (not supplementary)
2. 89° + 112° = 201° (not supplementary)
3. 89° + 68° = 157° (not supplementary)
4. 135° + 112° = 247° (not supplementary)
5. 135° + 68° = 203° (not supplementary)
6. 112° + 68° = 180° (this is a supplementary pair)

The pair 112° and 68° add up to 180°.

Thus, the measures of the smaller and larger angles are:

• Smaller angle: 68°
• Larger angle: 112°

So, the final answer is:

• Smaller angle: 68°
• Larger angle: 112°