SOLUTION: The difference between an angle and its complement is 38. Find the measure of the angle and its complement.

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Question 655620: The difference between an angle and its complement is 38. Find the measure of the angle and its complement.
Found 2 solutions by ewatrrr, MathDazed:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

The difference between an anglehighlight%28x%29 and its complementhighlight%2890-x%29 is 38°

  x - (90°-x) = 38°

  x -90° + x = 38°

       2x = 128°

        x = 64°   It's complement 26°

and...

 64° -26° = 38°

Answer by MathDazed(34) About Me  (Show Source):
You can put this solution on YOUR website!
Let x represent the angle and 90-x represent it's complement.
x - (90-x) = 38
x - 90 + x = 38
2x - 90 = 38
2x - 90 + 90 = 38 + 90
2x = 128
2x/2 = 128/2
x= 64
90 - x = 26