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  • 22-10-2020
  • Mathematics
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Determine the missing interior and exterior angles of the triangle shown below.

Determine the missing interior and exterior angles of the triangle shown below class=

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Аноним Аноним
  • 22-10-2020

Answer:

∠c=50°, ∠1=95°, ∠2=135°, ∠3=130°

Step-by-step explanation:

Let's start with [tex]c[/tex]. We know that, universally, every angle in a triangle will add up to be 180°. Therefore, we do [tex]45+85=130[/tex]. Then, [tex]180-130=50.[/tex] This means ∠[tex]c[/tex] = 50°.

Then, for the other angles, we can use the rule that a straight line is equal to 180°. So for example, ∠1 + 85° = 180.

As a result:

∠1 = [tex]180-85=95[/tex]°

∠2 = [tex]180-45=135[/tex]°

∠3 = [tex]180-50=130[/tex]°

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