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

Answer 1

Two angles are considered supplementary if their measures add up to 180°.

Let's check the given angles:

1. \(89°\)
2. \(135°\)
3. \(112°\)
4. \(68°\)

Now we will pair the angles and check for any that add up to 180°:

• \(89° + 135° = 224°\) (not supplementary)
• \(89° + 112° = 201°\) (not supplementary)
• \(89° + 68° = 157°\) (not supplementary)
• \(135° + 112° = 247°\) (not supplementary)
• \(135° + 68° = 203°\) (not supplementary)
• \(112° + 68° = 180°\) (supplementary)

The pair \(112°\) and \(68°\) are supplementary angles.

Listing the measures of the smaller angle first and the larger angle second:

68°, 112°