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    Question

    The diagonals of a rectangle are inclined to one side of

    the rectangle at 25°. The acute angle formed between the diagonals is:
    A 25┬░ Correct Answer Incorrect Answer
    B 50┬░ Correct Answer Incorrect Answer
    C 55┬░ Correct Answer Incorrect Answer
    D 40┬░ Correct Answer Incorrect Answer

    Solution

    In тЦ│BOC, ∠OBC =∠OCB ----- (Opposite angle of isosceles triangle) ∠OBC+∠OCB+∠BOC = 180тИШ 25тИШ + 25тИШ + ∠BOC = 180тИШ Therefore, ∠BOC = 130тИШ So, ∠AOB + ∠BOC = 180тИШ ------- (Linear pair) ∠AOB = 180тИШ −130тИШ ∠AOB = 50тИШ So, the acute angle between the diagonal is 50тИШ.

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