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Find the anglewhose complement is 1/4 its supplement​

User Jerm
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1 Answer

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Answer:

  • The angle is 60°

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Let the angle be x.

Its complement is 90 - x and its supplement is 180 - x.

Set up an equation to reflect that its complement is 1/4 its supplement​:

  • 90 - x = (1/4)(180 - x)
  • 4(90 - x) = 180 - x
  • 360 - 4x = 180 - x
  • 4x - x = 360 - 180
  • 3x = 180
  • x = 60
User Kodartcha
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