find the smallest angle of the measure angle of a hexagon 4x, 8x,3x,7x,9x and 8x
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Answer:
Sum of all interior angles of a polygon of n sides =
Thus, sum of all interior angles of hexagon,
or 720°.
or 20°.
∴ ∠1 = 6x = 120°
∠2 = 4x = 80°
∠3 = 5x = 100°
∠4 = 6x = 120°
∠5 = 7x = 140°
∠6 = 8x = 160°
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Answered by
1
sum of all interior angles of a hexagon is 720
hence 4x+8x+3x+7x+9x+8x=720
39x=720
x=720/39
x=18.46 (approx)
clearly smallest anglee would be 3x
hence 3 * x
3 * 18.46 = 55.38
=55.38
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