ABCD is a cyclic quadrilateral such that AB||DC. If ACD = 35° and DBC =72°, calculate the sizes of the angles of the trapezium.
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∠BCA = ∠ADB = 40° [angles in same segment of a circle are equal]
Now, ∠BCD = 70° + 40° = 110°
∠DAB + ∠BCD = 180°
∠DAB = 180° - 110°
⇒ ∠DAB = 70°
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