Yes, it is possible to have a reflex angle in an irregular hexagon. The requirement is that the sum of the interior angles is 720 degrees. The other angles just have to be smaller to compensate.
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a hexagon with a refle angle
An angle in a hexagon can have any value at all. It can be acute, a right angle, an obtuse angle or even a reflex angle.
Answer Reflex Angle
A reflex angle is larger.
A hexagon, in general can have an angle of any measure. In a REGUALR hexagon, each interior angle is 120o.