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  • 17-12-2021
  • Mathematics
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The angles of a pentagon are X, X, X, X and (x + 10), Work out the size of the
Largest angle,

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Аноним Аноним
  • 17-12-2021

Sum of interior angles of pentagon=540

[tex]\\ \sf\dashrightarrow x+x+x+x+x+10=540[/tex]

[tex]\\ \sf\dashrightarrow 5x+10=540[/tex]

[tex]\\ \sf\dashrightarrow 5x=540-10[/tex]

[tex]\\ \sf\dashrightarrow 5x=530[/tex]

[tex]\\ \sf\dashrightarrow x=106[/tex]

Largest angle=x+10=106+10=116°

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