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A quadrilateral ABCD is a trapezium with AB || DC if ______. - Mathematics

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Question

A quadrilateral ABCD is a trapezium with AB || DC if ______.

Options

  • AB = BС

  • ∠A + ∠D = 180°

  • ∠A + ∠B = 180°

  • ∠C + ∠D = 180°

MCQ
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Solution

A quadrilateral ABCD is a trapezium with AB || DC if ∠A + ∠D = 180°.

Explanation:

Since AB || DC, AD or any transversal makes co‑interior same‑side interior angles at A and D, which are supplementary their sum is 180°.

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Chapter 11: Rectilinear Figures - Exercise 11B [Page 234]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 11 Rectilinear Figures
Exercise 11B | Q 6. | Page 234
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