Question

in a parallelogram ABCD, angle A - angle C =​

Answer 1

Answer:

Angles A and C of parallelogram ABCD are the same size.

So A + C = 2A = 2C.

The value of the answer will depend on the size of angle A.

However, A + B = C + D = 180 degrees, for all parallelograms.

Step-by-step explanation:

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Answer 2

Answer:

Opposite sides of parallelogram is parallel

So, AB∥DC and AD∥BC

Since AB∥DC and AC is the transversal.

∴ ∠BAC=∠DCA [ Alternate angle ] ----- ( 1 )

AD∥BC and AC is the transversal.

∴ ∠DAC=∠BCA [ Alternate angles ] ---- ( 2 )

Adding ( 1 ) and ( 2 )

⇒ ∠BAC+∠DAC=∠DCA+∠BCA

∴ ∠BAD=∠DCB

∴ ∠BAD−∠DCB=0

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i.e.∠A−∠C=0

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Step-by-step explanation:

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