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The measures of the angles of a triangle are in the extended ratio 2 : 2: 8. What is the measure of the smallest angle?

can someone pretty please show me how to do this?

  • Math -

    let the angles be 2x, 2x, and 8x

    2x + 2x + 8x = 180
    12x = 180
    x = 15

    so the angles are 30, 30 , and 120°
    of course the smallest angle would be 30°

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