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If three angles of a quadrilateral are equal to 90° each, then the quadrilateral is a ______.

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Question

If three angles of a quadrilateral are equal to 90° each, then the quadrilateral is a ______.

Options

  • rectangle

  • square

  • parallelogram

  • rhombus

MCQ
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Solution

If three angles of a quadrilateral are equal to 90° each, then the quadrilateral is a rectangle.

Explanation:

The sum of all four interior angles of a quadrilateral is 360°. Since three of the angles measure 90° each, the fourth angle is 360° − (90° + 90° + 90°) = 360° − 270° = 90°. Because all four interior angles are right angles (90°), the quadrilateral is a rectangle.

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Chapter 13: Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium] - Exercise 13 (C) [Page 203]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 13 Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Exercise 13 (C) | Q 1. (c) | Page 203
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