A geometric figure has angles with the following measurements 75, 103-,86,94 which two angle measures, correspond to a supplementary pair list the measure of the smaller angle first and larger angle second

1 answer

To find the supplementary pair, we need to find two angles that add up to 180 degrees. Let's go through each angle measure and determine which two angles add up to 180 degrees.

Angle 1: 75 degrees
Since there are no other angles that add up to 180 degrees with angle 1, we can rule this out as a supplementary pair.

Angle 2: 103 degrees
180 - 103 = 77 degrees
Angle 2 pairs with angle 4, which has a measure of 94 degrees.

Angle 3: 86 degrees
180 - 86 = 94 degrees
Angle 3 pairs with angle 4, which has a measure of 94 degrees.

Therefore, the two angle measures that correspond to a supplementary pair are:
Angle 2: 103 degrees
Angle 4: 94 degrees

So the measure of the smaller angle is 94 degrees and the measure of the larger angle is 103 degrees.