## Answers

Supplementary angles are important because they can be used to find other angles.

#### Explanation:

For example, if given the below problem and told that angle 1 equals 100˚, we could use supplementary angle that sum to 180 to determine all of the other angles.

Angles 1 and 2 are supplementary, so 180-angle 1 is equal to angle 2. Knowing angle to is therefore 80˚, we can continue using supplementary angles to find all other values.

Problems like this would not be possible without the proofs of supplementary angles.

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