diagonal AC and BD of a parallelogram ABCD intersect at O. If angle DAC=32 find angle AOB

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Please find below the solution to the asked query :

Here angle DAC = 32 degree, but with this information only we cannot process further.

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74 degrees
If we take AC as the transversal angle ACB =32 (alternate angles)
angleACB+angleABC = 180 ( allied angles)
we will get angle ABC as 148 half of which is 74 that is angleOBC
angleAOB= 74 ( alternate angles)
angleAOB= angleDOC= 74 degrees

therefore answer is 74
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