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Please help me with the attached quadrilateral problem, i have a 2 nd level maths olympiad tomorrow.

Please help me with the attached quadrilateral problem, i have a 2nd level maths olympiad tomorrow.

Question Image
Grade:7

1 Answers

Aditya Gupta
2075 Points
one year ago
note that angle AEB= angle DEC
angle BAE= angle CDE (bcoz by angles on the same segment theorem, angle BAC= angle CDB and angle BAC= angle BAE and angle CDB= angle CDE)
hence, by AA similarity criterion, we have 
tri AEB similar to tri DEC
or AE/DE= AB/DC
2/4= AB/DC
or AB= ½ DC
KINDLY APPROVE :))

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