Question

ABCD is a trapezium in which AB || CD and
AD=BC (see Fig. 8.23). Show that
B
(1) ZA= ZB
i Z C= ZD
(ii) A ABC=ABAD
D
(iv) diagonal AC = diagonal BD
(Hint: Extend AB and draw a line through C.


Please everyone help me in this question
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Answer 1

Answer:

I angle c is equal to angle d by CPCT

II angle a is equal to angle b by interior angles are supplementary

III triangle ABC is congruent to triangle bad by SAS congruency