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Q: What are reflex interior angles?

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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.

No. All quadrilaterals can be made from joining two triangles, hence they all have interior angles that sum to 360 degrees. Reflex angles are greater than 180 degrees so two reflex angles would be too big!

A kite does not have a reflex angle because it is a 4 sided quadrilateral that has 4 interior angles that add up to 360 degrees and 4 exterior angles that add up to 360 degrees

A reflex angle is in between 180o and 360o.

A regular star with n points has 2 interior angles of which n are acute and n are reflex.

Related questions

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 convex pentagon is one in which none of the interior angles are reflex.

No. All quadrilaterals can be made from joining two triangles, hence they all have interior angles that sum to 360 degrees. Reflex angles are greater than 180 degrees so two reflex angles would be too big!

For interior, the angle sum is 540 degrees, for exterior, the angle sum is 1260 degrees. * * * * * Partially correct! The sum of the exterior angles of any polygon is 360 degrees. The exterior angle is the supplement of the interior angle (180 - interior), NOT the reflex angle (360- interior). So the sum given 1260, which is based on the reflex angles is incorrect.

No. In a parallelogram, adjacent angles are supplementary (they add up to 180°). A reflex angle is between 180° and 360°. So if one of the angles could be greater than 180°, then the adjacent angle would have to be negative, or else it is not a parallelogram. * * * * * All the EXTERNAL angles of a parallelogram are reflex angles!

A kite does not have a reflex angle because it is a 4 sided quadrilateral that has 4 interior angles that add up to 360 degrees and 4 exterior angles that add up to 360 degrees

a kite or a dart * * * * * Not a kite: all its angles are less than 180 degrees.

The three interior angles of every triangle add up to 180 degrees, so none of them can be greater than 180 degrees.

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.

28 plausibly. There are an infinite number of possibilities. If we assume all angles are equal, it narrows the field. * * * * * Wrong answer. The interior angles of a 30 sided polygon sum to (30 - 2)*180 = 5040 degrees. And you do not need to assume that the angles are equal. They can even be reflex angles.

No, parallelograms and rectangles cannot have reflex angles. This is because 1. The sum of their interior angles must be 360 degrees. 2. Opposite angles must be equal. 3. If it were the case that a reflex angle existed, two angles would have to be greater than 180 by 2. 4. But by 1, the two angles would now sum over 360, and that cannot occur for a four-sided polygon.

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