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Question -

The diagonals of a rectangle ABCD meet at O. If ∠BOC = 44o, find ∠OAD.



Answer -

ABCD is a rectangleand ∠BOC = 44o (given)

∠AOD = ∠BOC (vertically opposite angles)

∠AOD = ∠BOC = 44o

∠OAD = ∠ODA (Angles facing same side)

and OD = OA

Since sum of all theangles of a triangle is 180 o, then

So, ∠OAD = 1/2 (180 o – 44 o)= 68 o

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