Yes, they can. An example of this is when a kite's opposite angles are both 90°. (90° + 90° = 180°) In the example, the kite is more specifically a square, but because of the Quadrilateral Hierarchy Theorem, this is possible.
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Yes. A very "flat" kite.
Both are quadrilaterals. Both have two pairs of side of equal length. In a kite they are adjacent sides, in a rectangle they are opposite. A kite has one pair of equal angles, all of a rectangle's angles are equal. In a kite, one diagonals bisects the other, in a rectangle both do.
Only if the kite is a rhombus or square. For the kite shape (aka deltoid), only the two sides have equal angles, and their sides are equilateral. The top and bottom angles are not equal.
A kite can have 1, 2 or 3 acute angles.
A rhombus is never a kite.A rhombus is a parallelogram with all its sides equal in length. Opposite angles are therefore equal and the rhombus is symmetrical about each of its diagonals.A kite is a quadrilateral having two pairs of adjacent sides equal in length. Only one pair of opposite angles is equal and the kite is symmetrical about the line that bisects the unequal opposite angles. A kite does not have any parallel sides.
Yes. The opposite angles of a kite can be supplementary if the kite is, more specifically, a square. (90° + 90° = 180°)
Yes. A very "flat" kite.
No. They cannot equal 180 degrees unless the kite is square.The kite shape (aka deltoid) is a special case: a bisymmetrical trapezoid with one pair of angles (the sides) equal, and the others not equal (top, bottom). There are two pairs of adjacent equilateral sides.
A trapezoid.
First of all, you know the opposite sides of a parallelogram are equal because of the definition of a parallelogram. Therefore, two adjacent angles in the parallelogram are supplementary, because same-side interior angles in two parallels and a transversal are always supplementary. Therefore, opposite angles in a paralellogram are equal, because two angles both supplementary to a third angle are equal to each other.
Both are quadrilaterals. Both have two pairs of side of equal length. In a kite they are adjacent sides, in a rectangle they are opposite. A kite has one pair of equal angles, all of a rectangle's angles are equal. In a kite, one diagonals bisects the other, in a rectangle both do.
Congruent means exactly the same in size and angles. Only the two side angles are equal for a kite that is not a square.
Supplementary angles
Only if the kite is a rhombus or square. For the kite shape (aka deltoid), only the two sides have equal angles, and their sides are equilateral. The top and bottom angles are not equal.
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A kite can have 1, 2 or 3 acute angles.
Only the two angles which are connected by the shorter diagonal will be congruent. The other two angles will not necessarily be congruent.