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Question
ABCD is a rectangle with ∠ADB = 55°, calculate ∠ABD.
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Solution

In ΔABD,
∠ADB = 55°
∠DAB = 90° ...(in rectangle angle between two sides is 90°)
∠ADB + ∠DAB + ∠ABD = 180°
55° + 90° + ∠ABD = 180°
∠ABD = 180° - 145°
∠ABD = 35°.
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