A diagonal of a rectangle is inclined to one side of the rectangle at 25º. The acute angle between the diagonals is (A) 55º (B) 50º (C) 40º (D) 25º
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OAD = 25°
So ODA = 25° deg from the symmetry of a rectangle.
So AOD = 180 - 25 - 25 = 130°
Hence, the acute angle between diagonals: 180 - 130 = 50°
OR,
OAD = 25° So BAO = 90 - 25 = 65°
Since ABO = BAO, it is also 65°.
Hence, BOA = 180 - 65 - 65 = 50°
So ODA = 25° deg from the symmetry of a rectangle.
So AOD = 180 - 25 - 25 = 130°
Hence, the acute angle between diagonals: 180 - 130 = 50°
OR,
OAD = 25° So BAO = 90 - 25 = 65°
Since ABO = BAO, it is also 65°.
Hence, BOA = 180 - 65 - 65 = 50°
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