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Question

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A) \[\angle B\]

B) \[\angle A\]

C) \[\angle D\]

D) \[90^\circ \]

Answer
Verified

As we know that an isosceles trapezium has a pair of opposite sides that are congruent.

Therefore, \[AD\] is congruent to \[BC\].

Since we need to find the value of \[\angle C\], and as both pairs of opposite angles are supplementary that is they sum to \[180^\circ \].

Thus, \[\angle C + \angle D = 180\]

Also, consecutive angles along both bases are congruent.

Hence, \[\angle C\] and \[\angle D\] are the base angles and base angles are always equal to each other.

Thus, we get that \[\angle C = \angle D\].