Question

3. In the adjoining figure, ABCD is a
quadrilateral in which AB || DC and
AD || BC Prove that ZADC = ZABC.
of them
7
8
D
D
C с
А
B​

Answer 1

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debojeetghosh

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Step-by-step explanation:

Given :

AB||CD

AD||BC

prove that angle ADC=ABC

prove:- AB||CD(given)

AD||BC(given)

Draw AC diagonal

∆ABC and ∆ADC

AD=BC (opposite side)

AB=CD (opposite side)

AC=AC( common side)

∆ABC congruence ∆ADC ( S.S.S)

therefore. angle ABC= angle ADC

PROVED

Step-by-step explanation: