In a circle with centre O, the chord AB subtends an angle of 110° at the centre. D is a point on the minor arc AB. What is the measure of angle ADB?

A point C on the major arc gives angle ACB = ½ × 110° = 55°. Since ACBD is a cyclic quadrilateral, angle ADB = 180° − 55° = 125°. The angle in the minor (smaller) arc is always the obtuse one.