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ABCD is a trapezium in which \( A B \) II CD and \( \mathrm { AD } = \mathrm { BC } \) (see Fig. 8.23 ) . Show that (1) \( \quad \angle A = \angle B \) \( \angle C = \angle D \) (iii) \( \Delta \mathrm { ABC } = \mathrm { ABAD } \) (iv) diagonal \( A C = \) diagonal \( B D \) IHint: Bxtend AB and draw a line through \( c \) parallel to DA intersecting AB produced al E.

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