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Question 1017828: What is the complementary angle of (x+3)
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! two angles are complementary if their sum is 90 degrees.
if their sum is 90 degrees, then one of the angles is equal to 90 - the other angle.
for example:
30 + 60 = 90, therefore 30 and 60 are complementary.
30 = 90 - 60, therefore one of the angles (30) is equal to 90 - the other angle (60).
likewise 60 = 90 - 30.
in general:
if a + b = 90, then b = 90 - a and a = 90 - b.
your problem states to find the complementary angle of x + 3.
let y be that angle.
in order to be complmentary to x + 3, y would have to be equal to 90 - (x + 3)
y = 90 - (x + 3) becomes y = 90 - x - 3 which becomes y = 87 - x.
the complementary angle to x + 3 is equal to 87 - x.
if these angles are complementary, then their sum is 90 degrees.
x + 3 + 87 - x is equal to 90, therefore the angles are complementary.
your solution is that the angle that is complementary to x + 3 is 87 - x.
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