The diagonals AC and BD of parallelogram ABCD intersect at the point o. If __DAC = 34 and ZAOB= 75 then
measure _DBC is

1 thought on “<br />The diagonals AC and BD of parallelogram ABCD intersect at the point o. If __DAC = 34 and ZAOB= 75 then<br />measure _DBC is”

1. Answer:

   ∠DBC = 41°

   Step-by-step explanation:

   ABCD is a parallelogram .

   ∴ AD | | BC ⇒ ∠ACB = ∠DAC = 34°

   Now, ∠AOB is an exterior angle of △BOC

   ∴ ∠OBC + OCB = ∠AOB [ ext ∠ = sum of two int. opp. ∠S]

   ⇒ ∠OBC + 34° = 75°

   ⇒ ∠OBC = 75° – 34° = 41°

   or ∠DBC = 41°

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