No.
There is no specific limitation on any one angle of an inscribed quadrilateral.
A chevron.
90 degrees That is only true for a square. One interior angle of a quadrilateral can be anything from 0 to 360 degrees (excluding the two extreme values).
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.
No.
This is an arrowhead quadrilateral.
There is no specific limitation on any one angle of an inscribed quadrilateral.
Well, honey, drawing a quadrilateral with one reflex angle is as easy as pie. Just sketch out four sides, make sure one angle is greater than 180 degrees, and voilà, you've got yourself a quadrilateral with a reflex angle. Just remember, it may look a little wonky, but hey, math isn't always pretty.
A chevron.
90 degrees That is only true for a square. One interior angle of a quadrilateral can be anything from 0 to 360 degrees (excluding the two extreme values).
The three interior angles in a triangle must add up to 180o, and a reflex angle is one that is bigger than 180o. This makes it impossible for a triangle to have any interior reflex angles.
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.
A reflex angle is over 180 degrees, but the sum of the angles in a quadrilateral, concave or convex, is 360. Therefore, since 180+180=360, you can't have any more degrees even without the amount over 180 that the reflex angle has.
it's 90 degrees
The shape described is a kite, which is a quadrilateral with two pairs of equal adjacent sides and one reflex angle. A kite has an axis of symmetry along the line connecting the midpoints of the non-congruent sides. The reflex angle in a kite is typically greater than 180 degrees, creating a distinct shape that is not a regular quadrilateral.
Yes. One. The quadrilateral then looks a bit like a boomerang, according to my daughter. We had to establish this answer in her year 7 maths homework.