In same segment, if ∠ACB = 40°, find ∠ADB.
40°
Angles subtended by the same arc at the circumference, when the vertices lie in the same segment of a circle, are always equal.
In the given figure, points C and D lie in the same segment with respect to chord AB, so \(\angle ACB\) and \(\angle ADB\) are angles in the same segment.
By the angles-in-the-same-segment theorem, \(\angle ADB = \angle ACB = 40^\circ\).
In a circle, AB is a chord. If ∠ACB = 50°, find ∠ADB.

ABCD is a cyclic quadrilateral. If ∠A = 70°, find ∠C.

How many tangents can be drawn to a circle from a point outside it?
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AB is a chord of a circle with centre O and P is any point on the circle. If ∠APB = 112°, then what is the measure of ∠OAB ?
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An equilateral triangle ABC and a scalene triangle DBC are inscribed in a circle on same side of the arc. what is ∠BDC equal to?