JessicaVibes
JessicaVibes JessicaVibes
  • 22-02-2022
  • Mathematics
contestada

How many triangles can be constructed with angles measuring 60º, 60º, and 40º?

more than one

none

one

Respuesta :

Nonportrit
Nonportrit Nonportrit
  • 22-02-2022

Answer:

Second option

Step-by-step explanation:

One of the most common rules about triangles is that the sum of all three of their degrees add up to a total of 180 degrees.

[tex]180=a+b+c[/tex]
[tex]60+60=120[/tex]
[tex]120+40=160[/tex]
[tex]160<180[/tex]

The total sum of all three given angles only adds up to only 160 degrees not 180 like they're supposed to. Which means the following angles cannot construct a triangle and your answer is the second option or "none."

Hope this helps.

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