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Question
In the given figure, AOB is a diameter and DC is parallel to AB. If ∠ CAB = xo ; find (in terms of x) the values of: ∠ DOC.
Solution
∠OCD = ∠COB = 2x (Alternate angles)
In ∠OCD, OC = OD
∴ ∠ODC = ∠OCD = 2x
By angle sum property of ∆OCD,
∠DOC = 180° - 2x - 2x = 180° - 4x
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