8 triangles will fit inside a 10 sided decagon
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The smallest number of triangles that you could divide a nonagon into is seven.
Two Isosceles triangles.__ ^/ / / |/ / / |V --
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Since the amount of sides of a polygon is equal to the amount of angles, we have:144x = total anglesThe total measure of each angle is determined by 180(x - 2), by splitting it into several triangles. Thus:144x = 180(x - 2)144x = 180x - 360360 = 36xx = 10This polygon has 10 sides (a decagon).
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