The exterior angles of a hexagon are 3x-20,2x,3x,4x,5x,60-x. Find the value of X
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2x3x5x10x15x25x can not be the sidesf a hexagon. Let the hexagon be ABCDEF where
AB = 2, BC = 3, CD = 5, DE = 10, EF 15 and FA = 25, Then
No side can be larger than the sum of the other two sides in any triangle.
AC < 5 in triangle ABC . . . (1)
AD < 10 in triangle ACD . . . . . (2)
AE < 20 in triangle AED . . . . . (3)
AE > 20 in triangle AFE . . . . . (4)
(3) and (4) are contradictory, hence ABCDEF can be a hexagon
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