algebra

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<3 and <4 form a linear pair. The measure of <3 is four more than three times the measure of <4. Find the measure of each angle.

  • algebra -

    first we represent the unknowns using variables:
    let x = measure of angle 4
    let 3x+4 = measure of angle 3 (from the second statement)
    then we set-up the equation. since the angles form a linear pair, their sum is equal to 180 degrees. therefore,
    x + 3x + 4 = 180
    4x + 4 = 180
    4x = 176
    x = 44 degrees (measure of angle 4)
    3x + 4 = 136 degrees (measure of angle 3)

    hope this helps~ :)

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