Q: Does a right triangle or right kite have right angles?

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A cyclic kite. A kite is cyclic if it has only two right angles.

The diagonals of a kite cross each other at right angles

No, the angles aren't right angles.

A triangle has no right angles when it is not a right angle triangle as for example as in the case of an equilateral triangle that has 3 equal 60 degree angles.

There are no obtuse angles in a right triangle. A right triangle consists of one right angle and two acute angles.

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A kite has 4 right angles (all angles of the kite are right angles), since the kite is parallel. If the kite was cyclic, then 2 right angles. And if normal kite, then 0 right angles.

A cyclic kite. A kite is cyclic if it has only two right angles.

The diagonals of a kite cross each other at right angles

0 right angles

No, the angles aren't right angles.

A kite probably has no right angles.

A triangle has no right angles when it is not a right angle triangle as for example as in the case of an equilateral triangle that has 3 equal 60 degree angles.

No.

There are no obtuse angles in a right triangle. A right triangle consists of one right angle and two acute angles.

No because then it would be a square or a rectangle but a kite's diagonals meet at right angles.

The top and bottom of a kite will never be equal (unless it is a square)but the left and right angles of the kite will be.

A triangle can never have three right angles