Question

ABCD is a parallelogram AC is the diagonal prove that angle ADC is equal to angle CBA​

Answer 1

HELLO!!

GIVEN:

ABCD is a parallelogram.

TO PROVE:

Opposite sides are equal.

PROOF:

In ∆ABC and ∆ADC

Angle DAC = Angle BCA [AB is parallel to CD, AC is a transversal.. Alternate angles are equal]

Angle BAC = Angle DCA [AB is parallel to CD, AC is a transversal.. Alternate angles are equal]

..........(1)

Angle BCA + Angle BAC = Angle DCA + Angle DAC From .....(1)

Angle BAC + Angle BCA + Angle B = 180° [Angle sum property of triangle]

Angle DAC + Angle DCA + Angle D = 180° [Angle sum property of triangle]

..........(2)

From .....(1) and .....(2)

Angle B = Angle D

Hence Proved.

HOPE IT HELPS YOU!!

Answer 2

Answer:

Step-by-step explanation: