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1) Two angles of a triangle measure x + 9 and 2x - 7. What is the measure of the third angle as a

simplified expression in terms of x?

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Answers (2)
  1. 28 May, 08:49
    0
    178 - 3x.

    Step-by-step explanation:

    The three angles in a triangle add up to 180 degrees so an expression for the third angle is:

    180 - (x + 9) - (2x - 7)

    Distributing the negative over the parentheses, we have

    180 - x - 9 - 2x + 7

    = 180 - 9 + 7 - x - 2x

    = 180 - 2 - 3x

    = 178 - 3x (answer).
  2. 28 May, 08:58
    0
    178-3x

    Step-by-step explanation:

    The three angles of a triangle add to 180 degrees

    <1 + <2 + <3 = 180

    Let angle 1 = x+9 and <2 = 2x-7

    x+9 + 2x-7 + <3 = 180

    Combine like terms

    3x+2 + <3 = 180

    Subtract 3x from each side

    3x-3x+2 + <3 = 180-3x

    2+<3 = 180-3x

    Subtract 2 from each side

    2-2 + <3 = 180-2-3x

    <3 = 178 - 3x
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