SOLUTION: Q- Find the angle whose complementry angle is 18 more. A:- is 54 but how??? plz explain.

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Question 203992: Q- Find the angle whose complementry angle is 18 more.
A:- is 54 but how??? plz explain.


Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
if an angle is x degrees, then its complementary angle is 90-x because the sum of the angle and its complementary angle must equal 90 degrees.
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your problem asks to find the angle who complementary angle is 18 degrees more than the angle.
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let your angle = x
let your complementary angle = x+18
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since an angle and its complementary angle must equal 90 degrees, your equation is:
x + (x + 18) = 90
remove parentheses to get x + x + 18 which is the same as 2x + 18 = 90
subtract 18 from both sides of this equation and you get 2x = 72
divide both sides of this equation by 2 and you get x = 36
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your angle is 36 degrees
your complementary angle is 36 + 18 = 54 degrees
54 + 36 = 90
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