princessmooluv
princessmooluv princessmooluv
  • 07-02-2019
  • Mathematics
contestada

One angle within a triangle is 76 degrees. What is the value of the exterior angle?

Respuesta :

calculista
calculista calculista
  • 17-02-2019

Answer:

The value of the exterior angle is [tex]104\°[/tex]

Step-by-step explanation:

we know that

The sum of the interior angle plus the exterior angle is equal to [tex]180\°[/tex], because are supplementary angles.

Let

x-----> the measure of the exterior angle

so

[tex]76\°+x=180\°[/tex]

solve for x

[tex]x=180\°-76\°=104\°[/tex]

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