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The directions that came with the kite pattern that Andre ordered on the internet said to cut out 2 supplementary angles so that the measure of one is twice the measure of the other. How many degrees are in each angle? Justify your answer.

  • Math -

    a + 2a = 180
    3a = 180
    a = 60

    The smaller angle has 60 degrees.

  • Math -

    But how do you get 60?

  • Math -

    180 divided by 3 = 60

  • Math -

    But aren't there only 2 angles? I'm confused.

  • Math -

    Yes there are two angles. One is 60 degrees. Your problem states that the other one is twice the measure of the first.

    2 times 60 = 120

    1 angle measures 60 degrees.
    The other angle measures 120 degrees.

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