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ABCD is a parallelogram. The angle bisectors of ∠A and ∠D meet at O. What is the measure of ∠AOD?
  • a)
    45o
  • b)
    90o
  • c)
    75o
  • d)
    180o
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
ABCD is a parallelogram. The angle bisectors of∠Aand∠Dmeet at O. What ...
We are given parallelogram ABCD.
In a parallelogram, adjacent angles are supplementary. So,
∠A + ∠D = 180°
The bisectors of ∠A and ∠D meet at O.
So, at point O, the angle formed is:
∠AOD = ½∠A + ½∠D = ½(∠A + ∠D)
= ½(180°)
= 90°
 
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ABCD is a parallelogram. The angle bisectors of∠Aand∠Dmeet at O. What ...
Can you please explain this answer please i am reauesting you
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