HerberP339390 HerberP339390
  • 29-10-2022
  • Mathematics
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What is the value of x?Write your answer as an integer or as a decimal rounded to the nearest tenth

What is the value of xWrite your answer as an integer or as a decimal rounded to the nearest tenth class=

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JanyiahL262629 JanyiahL262629
  • 29-10-2022

The center angles of this figure must sum 360°. Since we have 5 equal divisions:

[tex]a=\frac{360}{5}=72\~[/tex]

Now, the angles inside a triangle must always sum 180°. We have a triangle with an angle "a", and two equal angles "x/2".

[tex]\begin{gathered} a+x=180 \\ 72+x=180 \\ x=180-72=108 \\ x=108 \end{gathered}[/tex]

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