question_answer

If ABCD is an isosceles trapezium, what is the measure of \[\angle C\]?

A)  \[\angle B\]                                      

B)                         \[\angle A\]                      

C)                         \[\angle D\]                                      

D)                         \[{{90}^{o}}\]

Correct Answer: C

Solution :

From definition, we know that in an isosceles trapezium the non-parallel sides are equal or \[AD=BC\]  in  the  figure.  Drop perpendiculars AE and BF to CD. Triangles AED and BFC are congruent by R.H.S congruency. Hence, \[\angle D=\angle C\].