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The Diagonals AC and BD of a Parallelogram ABCD intersect each other at the point O such that ∠DAC = 30 and ∠AOB = 70. Then, ∠DBC?
  • a)
    30
  • b)
    45
  • c)
    35
  • d)
    40
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The Diagonals AC and BD of a Parallelogram ABCD intersect each other a...
AO = 5, OC = 7, and OD = 9. Find the length of OB.

We know that in a parallelogram, opposite sides are equal in length, so AB = CD and BC = AD. Let x be the length of OB.

By the properties of diagonals in parallelograms, we know that AO/OC = BO/OD. Substituting the given values, we have:

5/7 = x/9

Solving for x, we get:

x = 9(5/7) = 6.43 (rounded to two decimal places)

Therefore, the length of OB is approximately 6.43 units.
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The Diagonals AC and BD of a Parallelogram ABCD intersect each other a...
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The Diagonals AC and BD of a Parallelogram ABCD intersect each other at the point O such that∠DAC = 30 and∠AOB = 70. Then, ∠DBC?a)30b)45c)35d)40Correct answer is option 'D'. Can you explain this answer?
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