A geometric figure has angles with the following measurements 75 degrees, 103 degrees, 86 degrees, and 94 degrees. Which two angles measured correspond to a supplementary pair? List the smaller angle first and the measure of the larger angle second
A supplementary pair of angles adds up to 180 degrees.
To find the supplementary pair, we need to find two angles whose measures add up to 180 degrees.
Let's check each possible pair:
75 degrees + 103 degrees = 178 degrees (not equal to 180 degrees)
75 degrees + 86 degrees = 161 degrees (not equal to 180 degrees)
75 degrees + 94 degrees = 169 degrees (not equal to 180 degrees)
103 degrees + 86 degrees = 189 degrees (not equal to 180 degrees)
103 degrees + 94 degrees = 197 degrees (not equal to 180 degrees)
86 degrees + 94 degrees = 180 degrees
So, the two angles that form a supplementary pair are 86 degrees and 94 degrees. The smaller angle is 86 degrees and the larger angle is 94 degrees.