2. Find the number of sides of a polygon if
the sum of the interior angles is
a) 10 right angles
b) 720°
d) 54

1 thought on “2. Find the number of sides of a polygon if<br />the sum of the interior angles is<br />a) 10 right angles<br />b) 720°<br />d) 54”

1. Answer:

   a) 7

   b) 6

   c) 5

   d) 11

   Step-by-step explanation:

   a) 10 right angles = 900 degree

   sum of interior angles of a polygon =(n-2)*180

   where n is the number of sides

   900=(n-2)*180

   n-2=900/180=5

   n=7

   b)

   applying the same formula,

   (n-2)*180=720

   n-2=720/180=4

   n=6

   c)

   again (n-2)*180=540

   n-2=540/180=3

   n=5

   d)

   (n-2)*180=1620

   n-2=1620/180=9

   n=11

   n is the number of sides in each case, hence the answer

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