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  • 20-03-2017
  • Mathematics
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MATH /ALGEBRA QUESTION. (Correct answer gets 40!! POINTS)

MATH ALGEBRA QUESTION Correct answer gets 40 POINTS class=

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sav12345 sav12345
  • 20-03-2017
both AC and AD must be larger than 60 degrees but less than 180 . 
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apologiabiology
apologiabiology apologiabiology
  • 20-03-2017
equilateral means those 3 angles are 60 degrees
ok, so we got that the left polygon is 10 sides
so the internal angles are 144 degrees in those angles
360=around
CAD+CAB+DAB=360
CAD+60+144=360
CAD=156 degrees

the measure of an interior angle of an ngon is (n-2)*180/n

156=(n-2)(180)/n
solve for n
times both sides by n
156n=180n-360
minus 180n both sides
-24n=-360
divide both sides by -24
n=15

15 sided

n=15
Answer Link

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