Question
In a cyclic quadrilateral ABCD, the diagonals AC and BD
intersect at E. If ∠ AEC = 120° and ∠ BED = 30°, what is the measure of ∠ ADB?Solution
Since ABCD is a cyclic quadrilateral, opposite angles sum up to 180°. Also, in cyclic quadrilaterals, ∠ AEC + ∠ ADB = 180° by the property of intersecting chords. Thus, ∠ ADB = 180° - 120° = 60°. Correct answer: c) 60°
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