SOLUTION: What is an equation you can use showing the relationship between r and s, when two angles q and r are complimentary , and the angle s is supplementary to q. Any help would be ap

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Question 182875: What is an equation you can use showing the relationship between r and s, when two angles q and r are complimentary , and the angle s is supplementary to q.
Any help would be appreciated.
I know that complementary angles are 90 - x and that supplementary angles are 180-x, but I still can't come up with an equation for the above problem.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If q and r are complementary and If q and s are supplementary, then the following relationships hold:






If we subtract 90 from both sides of the second equation:



But since we have the first relationship, we can substitute:



A little distributive property and collection of like terms:





Yielding the desired relationship.
John