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13 March, 13:38

The three angles of a triangle measure 5x - 30, x + 10, and 6x - 40. What

is the measure of the smallest angle in degrees?

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Answers (1)
  1. 13 March, 14:00
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    Step-by-step explanation:

    Interior angle sum of a triangle is 180°

    therefore 180=5x-30+x+10+6x-40, simplifying like terms gives us

    180=12x-60, solving for x leaves us with x=20.

    angle 1 = 5x-30 = 100-30=70

    angle 2 = x+10 = 20+10=30

    angle 3 = 6x-40 = 120-40=80

    In conclusion the smallest angle has a measure of 30°
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