Question

AB is parallel to DC and AD is parallel to BC. prove angle DAB = angle DCB

Answer 1

Step-by-step explanation:

Given

AB||DC

AD||BC

PROVE THAT:-

angle DAB = angle DCB

NOW,

because

AB||DC

AD||BC

therefore , this is a parallelogram

we know that, In parallelogram

opposite angel are equal.

so hence proved

angel DAB = angel DCB

Answer 2

Answer:

Step-by-step explanation:

Given: AB ll DC and BC is transversal

AD ll BC and AB is transversal

To prove: Angle DAB=Angle DCB

Proof:

Angle ABC+Angle DCB=180°__(1)

Similarly,Angle DAB+Angle ABC=180°__(2)

(Since,co interior angles are supplementary)

From equations (1) and (2)

Angle ABC+Angle DCB=Angle DAB+Angle ABC

Angle DCB=Angle DAB

Hence,proved.