A diagonal of a rectangle is inclined to one side of the rectangle at `35^(@)`. The acute angle between the diagonals is

Options

A. `55^(@)`
B. `70^(@)`
C. `45^(@)`
D. `50^(@)`

Answer

B

Explanation

`angle OAD = 90^(@) - (angle OAB)=90^(@)-35^(@)=55^(@).`
Now, `angle ODA = angle OAD = 55^(@)." " [because OA= OD " since diagonals of a rectangles are equal and bisect each other"].`
`angle AOD=180^(@) - (angle OAD + angle ODA) = 180^(@)-(55^(@)+55^(@))=70^(@).`