A diagonal of a rectangle is inclined to one side of the rectangle at 25°. What is the measure of acute angle between the diagonal ?
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Answer:
the measure of acute angle between the diagonal is —
50°
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See diagram.
OAD = 25°
So ODA = 25° from symmetry of a rectangle. So AOD = 180-25-25= 130°
Hence, the acute angle between diagonals: 180-130 = 50°
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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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