question_answer

In the adjoining figure, ABCD is a quadrilateral in which AB is the longest side and CD is the shortest side, then:

A)  \[\angle C>\angle A\,and\,\angle D>\angle B\]    

B)  \[\angle C>\angle A\,and\,\angle B>\angle D\]

C)  \[\angle C<\angle A\,and\,\angle D<\angle B\]            

D)  \[\angle C<\angle A\,and\,\angle D=\angle B\]

Correct Answer: A

Solution :

(a):   In \[{{\Delta }^{1e}}ABD,\,\,\,\,\angle D>\angle 3\] In \[{{\Delta }^{1e}}ABC,~\,\angle 5>\angle 1,\] In \[{{\Delta }^{1e}}CDB,\,\,\angle 7>\angle 4;\] In \[{{\Delta }^{1e}}CDA,\,\,\angle 6>\angle 2\]