A) \[\angle C>\angle A\text{ }and\text{ }\angle D>\angle B\]
B) \[\angle C>\angle A\text{ }and\text{ }\angle B>\angle D\]
C) \[\angle C<A\text{ }and\text{ }\angle D<\angle B\]
D) \[\angle C<\angle A\text{ }and\text{ }\angle D=\angle B\]
Correct Answer: A
Solution :
(a):- Join AC and BD. As \[AB>BC\Rightarrow \angle ACB>\angle BAC\] Also \[AD>DC\Rightarrow \angle ACD>\angle CAD\] \[\therefore \] \[\angle ACB+\angle ACD>\angle BAC+\angle CAD\] \[\Rightarrow \] \[\angle C>\angle A\], similarly \[\angle D>B\]
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