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Question

In a cyclic quadrilateral ABCD, the angle A is 100°. What is the measure of the angle C?

This question was previously asked in
SSC CGL 2025 Tier 2 Paper 1 Question Paper (19-Jan-2026)
The correct answer is

80°

Property of a cyclic quadrilateral: Opposite angles are supplementary, i.e. \(\angle A + \angle C = 180^\circ\) and \(\angle B + \angle D = 180^\circ\).

Apply: \(\angle A = 100^\circ \implies \angle C = 180^\circ - 100^\circ = 80^\circ\).

Hence, the correct answer is 80°.

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Similar Questions

  1. WXYZ is a quadrilateral in which XQ and ZP are perpendicular to WY such that XQ = ZP. Diagonals ZX and WY intersect each other at point O. If OX = 12 cm, then find the value of ZX (in cm).

  2. In a quadrilateral ABCD, AB is parallel to CD, and AC is a diagonal. If AB = CD, which of the following is true?

  3. A parallelogram is a quadrilateral in which:

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  5. In a quadrilateral ABCD, angles A, B, C are in the ratio 1:2:3. If angle D = 120°, what is angle A?


Important Questions from Quadrilaterals

  1. The ratio between the length and breadth of a rectangular park is 3 : 2. If a man cycling along the boundary at the speed of 12 km per hour completes one round in 8 minutes, then the area of the park in square meter will be

  2. A quadrilateral whose four sides and angles are equal to each other is known as

  3. The sides of a quadrilateral are in the ratio of 3 ∶ 4 ∶ 6 ∶ 8. If the perimeter of the quadrilateral is 84 cm. Find the longest side of the quadrilateral.

  4. The side of a rhombus is 26 cm. The length of one of its diagonals is 20 cm. The sum of the lengths of the diagonals of this rhombus is equal to the perimeter of a rectangle. If the difference between the length and breadth of the rectangle is 6 cm, then what is the area of the rectangle?

  5. PQRS is a cyclic quadrilateral. If ∠P is 4 times ∠R, and ∠S is 3 times ∠Q, then the average of ∠Q and ∠R is:

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