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Vlad [161]
3 years ago
15

Sabemos que uno de los ángulos agudos de un rectángulo mide 45º, entonces el otro ángulo agudo mide...

Mathematics
1 answer:
mezya [45]3 years ago
7 0

Answer: El otro ángulo agudo tambien mide 45°.

Step-by-step explanation:

Supongo que en este caso nos referimos a un triangulo rectángulo.

Donde el triangulo rectángulo es aquel cuyo uno de sus ángulos es igual a 90°.

Los triángulos tienen una propiedad muy útil en estos casos, la propiedad es que la suma de todos los ángulos internos de un triangulo es siempre igual a 180°.

En este caso, sabemos que uno de los ángulos es 90° (por que es un triangulo rectángulo) y sabemos que uno de los otros ángulos es igual a 45° (lo dice el enunciado)

Entonces, si el ángulo faltante es X, tenemos la ecuación:

X + 90° + 45° = 180°

La resolvemos para X

X = 180° - 90° - 45° = 45°

Entonces el otro ángulo agudo de nuestro triangulo rectángulo es igual a 45°.

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