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Q: Are the opposite angles in a regular quadrilateral equal?

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Diagonally opposite pairs of angles will always be equal, but the only time all angles in a quadrilateral parallelogram are equal is when that shape is a rectangle.

It is not possible for a quadrilateral in Euclidean plane geometry to have no equal angles and still have its opposite sides parallel.It's possible for a quadrilateral to have no equal angles and two of its sides parallel (opposite ones, obviously; adjacent sides can't possibly be parallel). That would be a trapezoid.

rhombus. The rhombus is a quadrilateral with all sides equal in length. It is also a parallelogram, so opposite sides are parallel and equal in length, and opposite angles are equal.

Kite is a quadrilateral in which 2 pairs of opposite angles are equal .

A kite or an arrowhead.

Related questions

A rhombus is a 4 equal sided quadrilateral with equal opposite acute angles and equal opposite obtuse angles with diagonals that bisect each other at right angles.

A parallelogram has opposite sides and angles congruent which means of equal measure.

rhombus

Parallogram

A general quadrilateral.

In general, a quadrilateral is not regular. Only the square has all its sides equal AND all its angles equal and so can be called regular.

Diagonally opposite pairs of angles will always be equal, but the only time all angles in a quadrilateral parallelogram are equal is when that shape is a rectangle.

rhombus

It is not possible for a quadrilateral in Euclidean plane geometry to have no equal angles and still have its opposite sides parallel.It's possible for a quadrilateral to have no equal angles and two of its sides parallel (opposite ones, obviously; adjacent sides can't possibly be parallel). That would be a trapezoid.

rhombus. The rhombus is a quadrilateral with all sides equal in length. It is also a parallelogram, so opposite sides are parallel and equal in length, and opposite angles are equal.

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