SOLUTION: If the measure of an angle is represented by x, then the measure of its complement is represented by 90-x? The possible answers are either "always true", "sometimes true", or "neve

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Question 869753: If the measure of an angle is represented by x, then the measure of its complement is represented by 90-x? The possible answers are either "always true", "sometimes true", or "never true". thanks!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Complementary angles always add to 90 degrees. So if x and 90-x are complementary, then they add to 90. Let's check that


x+(90-x) = 90


x+90-x = 90


x-x+90 = 90


0x+90 = 90


0+90 = 90


90 = 90 ... which is always true


So the answer is always true