math-algebra-angles

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The degree measures of two angles of a triangle are consecutive even integers. If the measure of the third angle is 50 degrees more than twice the measure of the least angle. Find the measure of each angle.

  • math-algebra-angles -

    Let x be the smallest angle.
    x + 2 is the next smallest angle
    The largest angle is 2x + 50
    The sum of all angles is 180 degrees, since it is a triangle.
    x + x + 2 + 2x + 50 = 180
    4x = 180 - 52 = 128
    x = 32
    The other angles are 34 and 114

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