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find the number of diagonals of a regular polygon whose interior angle measures 144 degrees?
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the answer is 35 but dunno how they get it
they only give the value of interior angle
no of sides is 360/(exterior angle) =360/(180-44) =10 hence no of diagonals is 10*(10-3) /2 = 35
|dw:1373095661364:dw|
irst find the number of sides and then for an sided poly gon the no of diagonals = n*(n-3)/2
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it is an n sided polygon. 180(n-2)=144n solve for n. what is n?
|dw:1373095654489:dw|
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