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Question

In a parallelogram ABCD, the bisectors A and B meet at O. Find AOB.

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Solution


ABCD is a parallelogram
A+B=180o [ Sum of adjacent angles of parallelogram are supplementary ]
12A+12B=180o2

OAB+OBA=90o
In AOB
OAB+AOB+OBA=180o
AOB=180o(OAB+OBA)
AOB=180o(OAB+OBA)
AOB=180o90o
AOB=90o

1250684_1056454_ans_990408a689284d2c84adfb8757b18b34.jpeg

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