determina la medida de cada uno de los angulos del triángulo ABC si se conoce que (3x+1)° (3x+4)° y (2x-1)°​

Question

determina la medida de cada uno de los angulos del triángulo ABC si se conoce que (3x+1)° (3x+4)° y (2x-1)°​

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Ximena 3 days 2021-10-10T18:38:20+00:00 1 Answer 0

Answers ( )

    0
    2021-10-10T18:40:00+00:00

    Answer:

    ∠A=67°

    ∠B=70°

    ∠C=43°

    Step-by-step explanation:

    The correct question in English is

    Determines the measurement of each of the angles of the triangle ABC if it is known that A=(3x+1)°,B=(3x+4)° and C=(2x-1)°.

    we know that

    The measure of the interior angles in a triangle must be equal to 180 degrees

    so

    ∠A+∠B+∠C=180°

    substitute the given values

    (3x+1)\°+(3x+4)\°+(2x-1)\°=180\°

    solve for x

    (8x+4)\°=180\°

    8x=180-4

    x=22

    Find the measure of each angle

    ∠A=(3(22)+1)=67°

    ∠B=(3(22)+4)=70°

    ∠C=(2(22)-1)=43°

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