# Q : 12         ABCD is a trapezium in which AB || CD and AD = BC (see Fig. 8.23). Show that(ii) [Hint : Extend AB and draw a line through C parallel to DA intersecting AB produced at E.]

Given: ABCD is a trapezium in which   and

To prove :

Proof:   Let  A be 1, ABC be 2,  EBC be 3,  BEC be 4.

(Co-interior angles)

(Co-interior angles)

Thus,                 (Since , )

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