ABCD is a cyclic quadrilateral with AD parallel to BC, prove that AB=CD.

Asked by saima zainab | 3rd Mar, 2011, 06:25: PM

Expert Answer:

Dear Student,

Following is the solution to your question

At the inage provide ABCD is a cyclic quadrilateral with AD parallel to BC ABCD is a trapezium as well and 

angle A + angle B = 1800

Also angle A + angle C = 1800
 because they are opposite angles of a cyclic quadrilateral
which means angle B = angle C,
which means AB = CD, because if adjacent angle (Angles formed on parallel side)of a trapezium are equal then non parallel sides are equal
Regards
Team Topperlearning

Answered by  | 9th Mar, 2011, 11:04: AM

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