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Question

State true or false:
The following figure shows a trapezium ABCD in which AB is parallel to DC and AD=BC, then DAB=CBA

184744_c5a6a4b1ec0b4c71b67206743ba217ba.png

A
True
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B
False
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Solution

The correct option is A True
Construction to be made: Drop from D to AB & from C to AB.
So DMA=CNB=90o
Since DC AB( given ) so DM=CN.
In ADM & BCN,\
AD=BC ( given )
DM=CN ( By construction )
DMA=CNB=90o ( By construction )
So ADM BCN ( By RHS rule of congruency )
DAM=CBNorDAB=CBA

271979_184744_ans_0615652985c04b589bd41dbc02745daf.png

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