in tbe given figure the diagonals of parallelogram ABCD intersect at O If Angle AOB=70 degree and angleDAC=30 degree find angle BD

1 thought on “in tbe given figure the diagonals of parallelogram ABCD intersect at O If Angle AOB=70 degree and angleDAC=30 degree find angle BD”

1. Answer:

   ans. is 40

   Step-by-step explanation:

   AD ∣∣ BC

   ∴ ∠DAC = ∠ACB — ( Alternate angle)

   ∴ ∠ACB = 30

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   ∠AOB + ∠BOC = 180

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   — (straight angle)

   ⇒70

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   + ∠BOC = 180

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   ∴ ∠BOC = 110

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   In △BOC,

   ∠OBC + ∠BOC + ∠OCB = 180

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   ⇒∠OBC + 110

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   + 30

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   = 180

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   ⇒ ∠OBC = 40

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   ∴ ∠DBC = 40

   ∘

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