SOLUTION: the measure of one angle is three times the measure of it's complement. find the measure of each angle.

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Question 839043: the measure of one angle is three times the measure of it's complement. find the measure of each angle.
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
the measure of one angle is three times the measure of it's compliment. find the measure of each angle.
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complement: 90-x
angle: x
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Equation:
x = 3*(90-x)
x = 270 - 3x
4x = 270
x = 67.5 degrees
complement = 90-67.5 = 22.5 degrees
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Cheers,
Stan H.
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Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

the measure of one angle is three times the measure of it's complement . 

find the measure of each angle.

 Two Angles are Complementary if they add up to 90 degrees

  x + 3x = 90°

    4x = 90°

     x = 22.5° , smaller angle.  Larger angle is 67.5°

Wish You the Best in your Studies. 

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