sarasofia15 sarasofia15
  • 14-01-2022
  • Mathematics
contestada

Un ángulo de un triángulo rectángulo mide 80 ¿cuál es la medida del otro ángulo agudo ?

Respuesta :

Аноним Аноним
  • 14-01-2022

Answer:

Si llamamos a los ángulos α y β

α = 1/2 β - 30

como se trata de un triángulo rectángulo , el ángulo recto mide 90° , entonces los otros dos suman 90°

α + β = 90

( 1/2 β - 30 ) + β = 90

1/2 β + β = 90 + 30

1/2 β + 2/2 β = 120

3/2 β = 120

β = ( 120 ) ( 2 ) / 3

β = 240/3

β = 80°

calculamos α

α = ( 80 / 2 ) - 30

α = 40 - 30

α = 10°

Step-by-step explanation:

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