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Question

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

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

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, \(\angle C = 110^\circ\).

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Similar Questions

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

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

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


Important Questions from Circles, Chords and Tangents

  1. A circular coin of radius 1 cm is allowed to roll freely on the periphery over a circular disc of radius 10 cm. If the disc has no movement and the coin completes one revolution rolling on the periphery over the disc and without slipping, then what is the number of times the coin rotated about its centre ?
  2. 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 ?

  3. The length of a tangent drawn to a circle of radius 4 cm from a point 5 cm away from the center of the circle is:
  4. If SA and SB are tangents to a circle from an outside point S, such that SA = 12 cm and angle ASB = 60°. What will the length of chord AB be?
  5. In a circle, two chords of lengths x and y subtend the angles of $60^{\circ}$ and $90^{\circ}$ at the center respectively. Which of the following is correct in this scenario?
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