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12 August, 11:24

Angle 1 and angle 2 are supplementary angles, and angle 1 and angle 3 are complementary angles. Given the measurement of angle 1 is 28 degrees less then

angle 2, find the measurement of angle 3.

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Answers (1)
  1. 12 August, 13:02
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    Supplementary angles add up to 180 degrees

    Complementary angles add up to 90 degrees

    So if angle 2 is x

    Then angle 1 is x - 28

    And we can set up the equation

    x + (x-28) = 180

    2x - 28 = 180

    2x = 208

    x = 104

    And then the second equation is:

    Angle 1 + Angle 3 = 90

    Angle 1 = 104 - 28 = 76

    76 + Angle 3 = 90

    Angle 3 = 14

    So the angles are, again:

    ∠1 = 76

    ∠2 = 104

    ∠3 = 14
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