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    If ABCD is a Trapezium in which AB ıı CD and AD=BC, then:
    Question

    If ABCD is a Trapezium in which AB ıı CD and AD=BC, then:

    A.

    ∠A = ∠B

    B.

    ∠A > ∠B

    C.

    ∠A < ∠B

    D.

    None of the above

    Correct option is A

    1. Given:

    - ABCD is a trapezium in which AB \parallel​ CD and AD = BC .

    2. Concept Used:

    - In an isosceles trapezium (ABCDandAD=BC)( AB \parallel CD and AD = BC )​, the base angles adjacent to the parallel sides are equal.

    - This means A=BandD=C\angle A = \angle B and \angle D = \angle C​ .

    3. Solution:

    - Since AD = BC , the trapezium is an **isosceles trapezium**.

    - Therefore, A=BandD=C\angle A = \angle B and \angle D = \angle C​ .

    4. Answer:

    The correct option is:  A. A=B\angle A = \angle B​ .

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