A geometric figure has angles with the following measurements 89, 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.

Question

Smaller angle: ___

Larger angle: ___

Answer 1

To find the supplementary angles, we need to identify two angles that add up to 180 degrees.

Let's add the angles in pairs:

1. \( 89 + 135 = 224 \)
2. \( 89 + 112 = 201 \)
3. \( 89 + 68 = 157 \)
4. \( 135 + 112 = 247 \)
5. \( 135 + 68 = 203 \)
6. \( 112 + 68 = 180 \)

The only pair that sums up to 180 degrees is \( 112 \) and \( 68 \).

Thus, we have:

Smaller angle: 68

Larger angle: 112