vaiorouz
vaiorouz vaiorouz
  • 01-08-2022
  • Mathematics
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Asap help with this PLEASE

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Medunno13
Medunno13 Medunno13
  • 02-08-2022

Answer:

124.5°

Step-by-step explanation:

Let the smallest angle be x. Then, the sum of the angles is an arithmetic sequence with first term x, common difference 7, and 8 terms.

Using the sum of an arithmetic series formula,

[tex]\frac{8}{2}(2x+(8-1)(7))=1080 \\ \\ 4(2x+49)=1080 \\ \\ 2x+49=270 \\ \\ 2x=221 \\ \\ x=110.5[/tex]

So, the third angle is 110.5+14=124.5

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