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The diagonals AC and BD intersect at O in a rectangle ABCD. If angle AOD = 45 degrees, find angle DAC

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In a Rectangle the diagonals bisect each other.
Hence the triangle OAD is an Isosceles triangle.
As of which,
<DAC+<ADO+<AOD=180
As <DAC=<ADO,
<DAC=<ADO=frac180-452=67.5: degrees

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Deependra Verma

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