A normal kite with string tension between the two wings usually has only two equal angles. These two wing angles could be exactly ninety degrees, for example.
The anterior angle (at the bottom where the cloth tail would be attached) is usually less than 90 degrees (an acute angle) and the lead angle (at the top or highest point) is usually greater than 90 degrees (an obtuse angle).
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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.
Congruent means exactly the same in size and angles. Only the two side angles are equal for a kite that is not a square.
YES, a regular shape has all the angles equal and a kite does not.
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.