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:

Answer Link

Otras preguntas

Commonlit answers for A Respectable Woman 1. PART A: Which of the following statements best identifies the theme of the text? A. Social expectations influence h
what were the two new ideas southeast asian traders returned with which led to their indianization
Is this good for a romeo and juliet capulet invitation? (It doesnt really need Shakespeare language though) The Masquerade Ball From the Capulet Residence of V
how many subatomic particles would a neutal atom have if its atomic number was 23 and its mass number was 57?a)80 neutrons,23 protons, 34 electrons b)57 neutron
What has a higher nutritional value: red meats or soya
which sign makes this statement true ​
Help me please, thanks .....
A patient is participating in a study for a new drug. On week 0, the patient weighed 122 pounds.On week 22. the patient weighed 145 pounds. What is the average
If 60% of a number is 144, what is the number?
preventing sea snakes bites