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Nady [450]
3 years ago
14

Si la amplitud del complemento de un ángulo agudo es mayor, menor o igual que la del suplemento de un ángulo agudo. ¿podes respo

nder aunque no conozcas cuanto mide el ángulo o te faltan datos? Explica como lo pensás
Mathematics
1 answer:
Harrizon [31]3 years ago
5 0

Answer:

Dados dos ángulos vecinos, ambos son complementarios si la suma de sus medidas es igual a 90° y suplementarios si esa suma de medidas es igual a 180°. Puesto que uno de los ángulos es el ángulo agudo mencionado en el enunciado, es decir, un ángulo cuya medida es mayor que 0° y menor que 90°. Entonces, el ángulo complementario debe ser inevitablemente menor que el ángulo suplementario.

Step-by-step explanation:

Dados dos ángulos vecinos, ambos son complementarios si la suma de sus medidas es igual a 90° y suplementarios si esa suma de medidas es igual a 180°. Puesto que uno de los ángulos es el ángulo agudo mencionado en el enunciado, es decir, un ángulo cuya medida es mayor que 0° y menor que 90°. Entonces, el ángulo complementario debe ser inevitablemente menor que el ángulo suplementario.

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Step-by-step explanation:

Let the three numbers be a, b and c respectively.

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Translating the word problem into an algebraic equation, we have;

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