If two angles of an equilateral triangle are x+y and 2x-3y, what is x and y equal to?

4 Answers

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  • David
    Lv 7
    4 weeks ago

    Both equal 60 degrees and x = 48 and y = 12

  • sepia
    Lv 7
    4 weeks ago

    Two angles of an equilateral triangle are x + y and 2x - 3y.

    x + y = 2x - 3y = 60°

    x - 4y = 0°

    x = 4y

    y = 60° - (x or 4y)

    x = 48 and y = 12

  • 4 weeks ago

    x + y = 60 deg, and

    2x - 3y = 60 deg, so

    2(60 - y) = 3y + 60 =>

    y = 12 deg, x = 48 deg.

  • 4 weeks ago

    All the angles in an equilateral triangle are 60°.

    x + y = 60

    2x - 3y = 60

    I'd triple the first equation, then add them:

    3x + 3y = 180

    2x - 3y = 60

    ------------------

    5x = 240

    x = 240/5

    x = 48

    Then it's simple to find y using either equation:

    x + y = 60

    48 + y = 60

    y = 60 - 48

    y = 12

    Answer:

    x = 48

    y = 12

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