if the measures of the angles of a triangle are represented by (x+30), (4x+30), and (10x-30), the triangle must be

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if the measures of the angles of a triangle are represented by (x+30), (4x+30), and (10x-30), the triangle must be

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    0
    2021-09-11T09:22:42+00:00

    We know triangles equal 180. Add all angles equal to 180. Then plug in the answer for x in each angle expression.

    (x+30)+(4x+30)+(10x-30)= 180
    combine like terms
    15x+30=180
    subtract 30 from both sides
    15x= 150
    divide both sides by 15
    x=10

    Angle 1:
    =(x+30)
    =10+30
    =40

    Angle 2:
    =(4x+30)
    =4(10)+30
    =40+30
    =70

    Angle 3:
    =(10x-30)
    =10(10)-30
    =100-30
    =70

    ANSWER: Since there are two equal angles, this is an Isosceles Triangle.

    Hope this helps! 🙂

    0
    2021-09-11T09:22:42+00:00

    The sum of angle measures is 15x+30 = 180, so x=10.

    The angles are 40°, 70°, and 70°.

    The triangle is isosceles.

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