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Can two angles if a kite be opposite and complementary?
In a kite, the two pairs of adjacent angles are equal, and one pair of opposite angles is formed by the intersection of the diagonals. Therefore, while two angles in a kite can be complementary (summing to 90 degrees), they cannot be opposite angles, as opposite angles in a kite are not generally equal and do not fit the definition of being complementary. Thus, two angles of a kite cannot be both opposite and complementary simultaneously.
Can two angles of a kite be opposite and complimentary?
In a kite, two pairs of opposite angles are formed, with one pair being congruent and the other being unequal. For two angles in a kite to be opposite and complementary, they would need to add up to 90 degrees. However, in a kite, the opposite angles do not satisfy this condition; thus, two opposite angles in a kite cannot be complementary.
Can two angles of a kite be consecutive and complementary?
No.
Can two opposite angles of a kite be supplementary?
Yes. The opposite angles of a kite can be supplementary if the kite is, more specifically, a square. (90° + 90° = 180°)
Can two angles of a kite be opposite and acute?
Yes. A very "flat" kite.
Are two adjacent angles whose exterior sides are opposite rays are complementary?
Yes, two adjacent angles whose exterior sides are opposite rays are complementary. This is because the angles formed by the opposite rays sum up to 180 degrees, and since they are adjacent, their measures add up to 90 degrees, fulfilling the definition of complementary angles. Thus, the two angles are indeed complementary.
Are opposite angles of a kite congruent?
Congruent means exactly the same in size and angles. Only the two side angles are equal for a kite that is not a square.
Can two angles of a kite be opposite and supplementary?
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.
Are the opposite angles on a kite the same?
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.
How many acute angles does a kite have?
A kite can have 1, 2 or 3 acute angles.
Are both pairs of opposite angles congruent of a kite?
Only the two angles which are connected by the shorter diagonal will be congruent. The other two angles will not necessarily be congruent.
Is a kite convex?
No, a kite is not convex. A kite is a quadrilateral with two pairs of adjacent sides of equal length and one pair of opposite angles that are equal.
