A geometric figure has angles with the following measurements 89, 135, 112, 68,. Which two angle measures correspond to supplementary pair? List the measure of the smaller angle first and the measure of the larger angle second.

Question

Smaller angle:___

Larger angle: __

Answer 1

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

Let's check the pairs of angles:

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 pair is supplementary)

The supplementary pair of angles is 68 and 112.

Smaller angle: 68

Larger angle: 112