Geometric figure has angles with the following measurements 34, 105, 146, 97 which two angle measures, correspond to a supplementary pair, list the measure of the smaller angle first and a measure of the large angle second

To determine which two angles form a supplementary pair, we need to find two angles whose sum is 180 degrees.

The given angle measures are 34, 105, 146, and 97.

Let's check each pair of angles:

34 + 105 = 139 (not equal to 180)
34 + 146 = 180 (matches)
34 + 97 = 131 (not equal to 180)
105 + 146 = 251 (not equal to 180)
105 + 97 = 202 (not equal to 180)
146 + 97 = 243 (not equal to 180)

So, the pair of angles that form a supplementary pair is 34 and 146.

Therefore, the smaller angle is 34 degrees, and the larger angle is 146 degrees.