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Examine whether you can construct ∆DEF such that EF = 7.2 cm, m∠E = 110° and m∠F = 80°. Justify your answer.

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NCERT Solutions for Class 7 Mathematics Chapter 10
Important NCERT Questions
Class vii Math Chapter 10 Practical Geometry Exercise 10.4
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 3

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1 Answer

  1. Given: In ∆DEF, m∠E = 110° and m∠F = 80°.
    Using angle sum property of triangle
    ∠𝐷 + ∠𝐸 + ∠𝐹 = 180°
    ⟹ ∠𝐷 + 110° + 80° = 180°
    ⟹ ∠𝐷 + 190° = 180°
    ⟹ ∠𝐷 = 180° − 190° = −10°
    Which is not possible.

    Class 7 Maths Chapter 10 Exercise 10.4

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-7/maths/chapter-10/

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