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 _____.
Answer: Option C
:
C
Given: In rectangle ABCD,
∠BAO=35°
To find: Angle between the diagonals ∠AODor∠BOC
In ΔAOB
OA = OB
∵ Diagonals of a rectangle bisecteach other
⇒∠OBA=∠OAB=35∘(As the angles opposite to equal sides are equal)
Applying exterior angle property inΔAOB
∠AOD=∠OBA+∠OAB
∠AOD=35°+35°
∠AOD=70°
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:
C
Given: In rectangle ABCD,
∠BAO=35°
To find: Angle between the diagonals ∠AODor∠BOC
In ΔAOB
OA = OB
∵ Diagonals of a rectangle bisecteach other
⇒∠OBA=∠OAB=35∘(As the angles opposite to equal sides are equal)
Applying exterior angle property inΔAOB
∠AOD=∠OBA+∠OAB
∠AOD=35°+35°
∠AOD=70°
Was this answer helpful ?
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