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29 September, 11:39

The angles of a triangle are in the ratio of 2 : 12 : 16. The sum of all the angles in a triangle must equal 180 degrees. What is the degree measure of each angle of the triangle? also write and equation that can be used to solve this problem

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  1. 29 September, 12:21
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    If the ratios are 2:12:16 the equation that should be used is 2x + 12x + 16x = 180.

    First solve for x:

    2x + 12x + 16x = 180

    30x = 180

    x = 6

    Then plug x back in to find the degrees for each angle:

    2x = 2 (6) = 12

    12x = 12 (6) = 72

    16x = 16 (6) = 96

    These are the degrees for each triangle: 12 degrees, 72 degrees, and 96 degrees which adds up to 180 degrees in total.

    The equation, also at the top, is 2x + 12x + 16x = 180.
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