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

Mathematics

1 answer:

Triss [41]3 years ago

6 0

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

∠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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