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Question

In same segment, if ∠ACB = 40°, find ∠ADB.

This question was previously asked in
UPTET 2026 Paper 2 Social Studies Question Paper (3-Jul-2026) (Shift 1)
The correct answer is

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, \(\angle ADB = \angle ACB = 40^\circ\).

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Similar Questions

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

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

  3. How many tangents can be drawn to a circle from a point outside it?


Important Questions from Circles, Chords and Tangents

  1. A chord 21 cm long is drawn in a circle of diameter 25 cm. The perpendicular distance of the chord from the centre is:

  2. 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 ?

  3. In a circle with radius 5 cm, a chord is at a distance of 3 cm from the centre. The length of the chord is:

  4. The distance between the centres of two circles is 24 cm. If the radius of the two circles are 4 cm and 8 cm, then what is the sum of the lengths (in cm) of the direct common tangent and the transverse common tangent?

  5. 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?

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