ABCD is a cyclic quadrilateral. If ∠A = 70°, find ∠C.
110°
In a cyclic quadrilateral, opposite angles are supplementary, so \(\angle A + \angle C = 180^\circ\).
Substituting \(\angle A = 70^\circ\): \(\angle C = 180^\circ - 70^\circ\).
Therefore, \(\angle C = 110^\circ\).
In same segment, if ∠ACB = 40°, find ∠ADB.

In a circle, AB is a chord. If ∠ACB = 50°, find ∠ADB.

How many tangents can be drawn to a circle from a point outside it?
There are two concentric circles. The radii of the two circles are 100 m and 110 m respectively. A wheel of radius 30 cm rolls on the smaller circle and another wheel rolls on the larger circle. After they have completed one revolution, it is found that the two wheels rolled equal number of times
on their respective axes. What is the radius of the other wheel ?