Question

11. In the given figure, ABCD is a quadrilateral in which AB || DC and
AD || BC.
Prove that angle ADC = angle ABC.
​

Answer 1

Answer:

Given:-In the given figure,

To prove:-angle ADC=angle ABC

Proof:-AB//DC

AD//BC

Hence angle A= angle C

angle B=angle D.

since,angle ADC=angle ABC

HENCE PROVED

Answer 2

Answer:

Angle ADC = Angle ABC

Step-by-step explanation:

Here AB parallel to DC and CB is a transversal so we have : Angle C = Angle B (Alternate Angles)

Again, AD parallel to BC and DC is a transversal, so we have : Angle D = Angle C (Corresponding Angles)

If Angle C = Angle B and Angle C = Angle D then ultimately Angle B = Angle D, means Angle ADC = Angle ABC.

So, Angle ADC = Angle ABC (Hence proved) .