The diagonals AC and BD of parallelogram ABCD intersect at the point o. If __DAC = 34 and ZAOB= 75 then
measure _DBC is
340
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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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