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17 February, 18:56

The measures of the angles of a triangle are in the extended ratio 4 : 5 : 6. What is the measure of the smallest angle?

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  1. 17 February, 19:08
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    4x + 5x + 6x = 180

    15x = 180

    x = 12

    angle 1 = 4 (12) = 48 degrees

    angle 2 = 5 (12) = 60 degrees

    angle 3 = 6 (12) = 72 degrees
  2. 17 February, 19:09
    0
    4x+5x+6x = 180

    15x = 180

    x = 180/15 = 12

    smallest angle = 4x = 4*12 = 48
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