SOLUTION: What is the complement of an obtuse angle?
ex. m angle A = 158.
The supplement of angle A = 22 since 158+22=180, 180-158=180, etc.
What would the complement be?
Would i
Algebra.Com
Question 334897: What is the complement of an obtuse angle?
ex. m angle A = 158.
The supplement of angle A = 22 since 158+22=180, 180-158=180, etc.
What would the complement be?
Would it be 112 since 112+158=270 which gives a right angle (360-270=90)
What is the complement of the obtuse angle A?
Thanks in advance
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Complementary angles add to 90 degrees. So if two angles are complementary, then they are acute (ie less than 90 degrees). So it's not possible for an obtuse angle to have a complementary angle.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
My first instinct was to tell you that an obtuse angle does not have a complement. However, every definition of complementary angles that I can find simply says that angles are complementary if the sum of their measures is either 
or 
radians. There is nothing in the definition that would exclude one of the angles from having a negative measure.
Hence, to the extent that your universe of mathematical understanding includes the idea of angles with a negative number measure, the complement of an angle that measures 
would be 
because \ =\ 90)
.
The answer is most assuredly not 
. As you said, 
. But 
, in fact 
. But that doesn't match the definition of complementary.
John
My calculator said it, I believe it, that settles it
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