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Polygons are
closed figures
with three or more
sides.
 The external angle is the angle
between any side of a shape,
and a line extended from the
next side.
The sum of internal angles
of a triangle is 180 degree.
That is
<ABC + <BCA + <BAC = 180
Now
<CBE = 180 - <ABC
<ACF = 180 - <BCA
<BAD = 180 - <BAC
{Linear Pairs}
Sum of external angles of the triangle is
<CBE + <ACF + <BAD = 180 - <ABC + 180 - <BCA +180 - <BAC
= (180+180+180) – (<ABC + <BCA + <BAC)
= 540 – Sum of angles of triangle
= 540 – 180 = 360 degree
Sum of the external angles
of a triangle is 360 degree

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POLYGON

  • 1.
  • 2. Polygons are closed figures with three or more sides.
  • 3.
  • 4.  The external angle is the angle between any side of a shape, and a line extended from the next side.
  • 5. The sum of internal angles of a triangle is 180 degree. That is <ABC + <BCA + <BAC = 180 Now <CBE = 180 - <ABC <ACF = 180 - <BCA <BAD = 180 - <BAC {Linear Pairs} Sum of external angles of the triangle is <CBE + <ACF + <BAD = 180 - <ABC + 180 - <BCA +180 - <BAC = (180+180+180) – (<ABC + <BCA + <BAC) = 540 – Sum of angles of triangle = 540 – 180 = 360 degree
  • 6. Sum of the external angles of a triangle is 360 degree