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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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