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Question

If a diagonal of a rectangle is inclined to one side of the rectangle at 35, then the acute angle between the diagonals is _____.

A
35
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B
60
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C
70
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D
80
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Solution

The correct option is C 70


Given: In rectangle ABCD,
BAO=35°

To find: Angle between the diagonals AOD or BOC

In ΔAOB
OA = OB
Diagonals of a rectangle bisect each other
OBA=OAB=35 (As the angles opposite to equal sides are equal)

Applying exterior angle property in ΔAOB
AOD=OBA+OAB
AOD=35°+35°
AOD=70°


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