Question

Q14.If ABCD is a trapezium in which AB || CD and AD = BC, then: a. ∠A = ∠B b. ∠A >∠B c. ∠A <∠B d. None of the above ​

Answer 1

Answer:

GIVEN: AB is a trapazium in which AB II CD and AD=BC.

To prove : a) angle A = angle B

CONSTRUCTION : Extend AB and draw a line through C parallel to DA interesting AB produced at E

Step-by-step explanation:

AB II CE (From construction)

AE II DC (As AB parallel DC, AB is extended)

In AECD both pair of sides are parallel

therefore, angle A = angle B