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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9

In a cyclic quadrilaterals ABCD, ∠A = 4x, ∠C = 2x the value of x is - Mathematics

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Question

In a cyclic quadrilaterals ABCD, ∠A = 4x, ∠C = 2x the value of x is

Options

  • 30°

  • 20°

  • 15°

  • 25°

MCQ

Solution

30°

Explanation;

Hint:

∠A + ∠C = 180° ...(Sum of the opposite angle of cyclic quadrilateral is 180°)

4x + 2x = 180°

x = `(180^circ)/6`

= 30°

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Chapter 4: Geometry - Exercise 4.7 [Page 182]

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Samacheer Kalvi Mathematics [English] Class 9 TN Board
Chapter 4 Geometry
Exercise 4.7 | Q 14 | Page 182
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