Mathematics

Mathematics

Problem

Chord ABAB of a circle subtends ∠ACB\angle ACB at point CC and ∠ADB\angle ADB at point DD on the circumference, where CC and DD lie on the same side of ABAB. Which of the following is always true? a) ∠ACB+∠ADB=180∘\angle ACB + \angle ADB = 180^\circ b) ∠ACB=∠ADB\angle ACB = \angle ADB c) ∠ACB=2∠ADB\angle ACB = 2\angle ADB d) ∠ACB=90∘\angle ACB = 90^\circ

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