2021 JMPSC Accuracy Problems/Problem 6
In quadrilateral , diagonal bisects both and . If and , find the perimeter of .
Notice that since bisects a pair of opposite angles in quadrilateral , we can distinguish this quadrilateral as a kite.
With this information, we have that and .
Therefore, the perimeter is
We note that triangle and are congruent due to congruency. Therefore, and the perimeter of the quadrilateral is
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