60 degree reflex? Possibly you mean 300 degrees...
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A reflex angle is one that is more than 180 degrees but less than 360 degrees. If the reflex angle measured 190 degrees, then there would be a 170 degree, or obtuse, angle opposite it. If the reflex angle measured 270 degrees, then there would be a 90 degree, or right, angle opposite it. If the reflex angle measured 300 degrees, then there would be a 60 degree, or acute, angle opposite it. It helps to draw or picture these angles as sectors of a circle.
The hands of a clock at two o'clock are set at a 60 degree angle.
A 60 degree angle
180 - 60 = 120 degrees.
Each exterior angle is 360/6 = 60 degrees