SOLUTION: In Rectangle ABCD angle cbd=35, diagonals intersect at o .how to find angle AOB?

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Question 169757: In Rectangle ABCD angle cbd=35, diagonals intersect at o .how to find angle AOB?

Answer by stanbon(48535) About Me  (Show Source):
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In Rectangle ABCD angle cbd=35, diagonals intersect at o .how to find angle AOB?
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Draw the figure so that angle cbd = 35 degrees
Then angle cba = 55 because it is the complement of cbd.
And angle dac = 55 because of isosceles triangle CAO
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Finally AOC = 180 - 2(55) = 180-110 = 70 degrees.
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Cheers,
Stan H.