dzeller808
dzeller808 dzeller808
  • 08-08-2020
  • Mathematics
contestada

Determine the measure of the interior angle at vertex D. A. 27 B. 162 C. 20 D. 36

Determine the measure of the interior angle at vertex D A 27 B 162 C 20 D 36 class=

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mlarsen5000
mlarsen5000 mlarsen5000
  • 08-08-2020

Answer:

162°

Step-by-step explanation:

The shape is a hexagon, so the interior angles equal 720. (N-2)*180=720

9x+9x+9x+2x+9x+2x=720

40x=720

x=720/40

x=18

D=9x=9(18)=162°

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konrad509
konrad509 konrad509
  • 08-08-2020

The sum of interior angles of a polygon with n sides is [tex](n-2)\cdot180[/tex]

In this case [tex]n=6[/tex]

Therefore

[tex]4\cdot9x+2\cdot2x=(6-2)\cdot180\\36x+4x=4\cdot180\\40x=720\\x=18[/tex]

[tex]9x=9\cdot18=162[/tex]

So B

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