I'm not sure what you are asking. Sums represent either an increase of one quantity by another quantity, or a combination of two quantities. Two of anything is a pair. Did you mean to ask, "What are sums of pairs?" One common use of a pair in mathematics is an ordered pair, such as (2,3). This can represent a coordinate in a graph, or it can represent a vector. If pairs represent a vector, you add the components, so (2,3) + (40,50) = (42, 53).
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The answer will depend on what kind of sums.
The pairs of positive integer factors of 80 are: 1 x 80 = 80 2 x 40 = 80 4 x 20 = 80 5 x 16 = 80 8 x 10 = 80 Since multiplication sums are commutative, the reverses of the sums also hold true. For example, such that 8 x 10 = 80, also 10 x 8 = 80, and so on.
Infinitely many. Start with sums of two numbers: 0 + 80, 1+79, 2 + 78 etc then 0.1 + 79.9, 0.2 + 79.8, 0.3 + 79.7 etc then 0.001 + 79.99, 0.02 + 79.98 etc and so on. Then you can have sums of 3 numbers. and of 4 numbers, etc You can also have irrational numbers in any of these sums.. To increase the number of options you can include negative numbers or subtractions: 81 - 1, 82 - 2, etc and so on with decimal fractions and irrationals in pairs, triplets, quartets, etc. And throw in multiples. An infinite number of pairs, triplets etc.
all the sums are 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,and 24
Each pair of interior and exterior angle sums to 180 degrees. Since a hexagon has 6 such pairs, the sum is 6*180 = 1080 degrees.