Question

ABCD is a trapezium in which AB || CD and AD = BC . Show that ∠ A = ∠ B

Answer 1

Step-by-step explanation:

Given- ABCD is trapezium, AB ll CD and AD=CD.

To prove- <A=<B

Construction- Join A to C, D to B

Proof- In ABC AND DCB

AB ll CD(given)

AD=CD (given)

<A=<C(alternate interior angle)

<B=<D (alternate interior angle)

BY SAS ABC=DCB

BY CPCT <A=<B

Answer 2

Answer:

given= ABCD is the trapezium where AB||CD and AD=BC

to prove <A=<B

Contraction - extend AB and draw a line through C parallel to DA intersecting AB produce at E

proof- ( from contrution)

AD||DC

& AF || DC. (as AB||DC, & AB is extended

in ABCD, both of opposite sides and parallel ,ABCD is a parallel.

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