Question

In the figure, ABCD is a quardilateral in which AB II DC and AD II BC. Prove that angle ADC = angleABC​

Answer 1

we know that.

• AB || DC
• DA ||BC

so , AB=DC and DA=BC

so , its a rectangle whose opposite sides are equal .

BAD= BCD

CDA = CBA.

because AB is parallel to DC(opposite sides) and DA = BC (opposite side )

so . ADC=ABC (rectangles opposite angles are equal )

hence proved that ADC = ABC