If you mean the reflex angle is an interior angle of the triangle then no.
The sum of the interior angles of a triangle is 180o, which mean all the angles must be less than 180o, but a reflex angle is greater than 180o and so cannot be one of these angles.
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When an angle is drawn a small arc is normally placed near the vertex between the arms to show the angle. A reflex angle is one greater than 180°, so draw the two arms as normal and then draw a small arc around the vertex of the angle "outside" the arms of the angle, ie around the angle which is greater than 180° If the problem is how to draw the reflex angle with a protractor that only goes up to 180°, then note that "360° - the reflex angle" gives an angle which is less than 180° and can be measure by the 180° protractor. Draw one arm of the angle, measure the calculated angle (eg if the reflex angle was 200°, 360° - 200° = 160°, so measure 160°), draw the other arm, and then draw an arc around the vertex "outside" the arms to show the reflex angle (in the example, the 200° angle).
A reflex angle is an angle greater than 180 degrees and less than 360 degrees. To construct one draw two lines at an angle and draw the angle measurement circle around the side you normally don't do it on.
It's entirely possible to draw a quadrilateral with 3 acute angles.The fourth angle must be obtuse or reflex, but so what ? !
No, it is not.