Question

if AC=BD in a parallelogram ABCD then angle A = 2 angle B​

Answer 1

Step-by-step explanation:

ANSWER

ABCD is a parallelogram.

Therefore,

AD∥BC

⇒∠ACB=∠DAC=30°

Now, ∠AOB is an exterior angle of △BOC.

As we know that exterior angle is equal to the sum of two interior opposite interior angles.

Therefore,

∠OBC+∠OCB=∠AOB

⇒∠OBC+30°=72°

⇒∠OBC=72°−30°=42°

∴∠DBC=∠OBC=42°

Hence ∠DBC is 42°.

Answer By

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Toppr

Answer 2

Answer:

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Step-by-step explanation:

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