ACT Math : How to find an angle in a kite
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Example Question #11 : Kites
A kite has one set of opposite interior angles where the two angles measure 
The sum of the interior angles of any polygon can be found by applying the formula: 
By definition, a kite is a polygon with four total sides (quadrilateral). The sum of the interior angles of any quadrilateral must equal: 
The missing angle can be found by finding the sum of the non-congruent opposite angles. Then divide the difference between 
This means that 
Example Question #12 : Kites
A kite has one set of opposite interior angles where the two angles measure 
The sum of the interior angles of any polygon can be found by applying the formula:
By definition, a kite is a polygon with four total sides (quadrilateral). The sum of the interior angles of any quadrilateral must equal:
To find the sum of the remaining two angles, determine the difference between
The solution is:
This means that 
Example Question #241 : Geometry
If the diagonals of the quadrilateral above were drawn in the figure, they would form four 90 degree angles at the center. In degrees, what is the value of 
A quadrilateral is considered a kite when one of the following is true:
(1) it has two disjoint pairs of sides are equal in length or
(2) one diagonal is the perpendicular bisector of the other diagonal. Given the information in the question, we know (2) is definitely true.
To find 
The sum of angles within any quadrilateral is 360 degrees.
Therefore 
To find 
Example Question #11 : Kites
In a particular kite, one angle that lies between congruent sides measures 
One of the rules governing kites is that the angles which lie between non-congruent sides are congruent to each other. Thus, we know one of the missing angles is also 
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