# Geometry

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Find the smallest interior angle of equilateral if its exterior angle are in the ratio 2:3:4:6.

• Geometry -

The exterior angles of anything have to add up to 360, all the way around.
2x + 3x + 4x + 5x = 360
3.5 * 4 x = 360
x = 25.71
the biggest exterior angle is 5x = 128.6
180 - 128.6 = -51.4

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