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Find the values of the angles x, y and z in each of the following.

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NCERT Solutions for Class 7 Mathematics Chapter 5
Important NCERT Questions
Class vii Math Chapter 5 Lines and Angles Exercise 5.1
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 12

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1 Answer

  1. (i) x = 55° [Vertically opposite angles]
    Now 55° + y = 180° [Linear pair]
    ⇒ y = 180° – 55° = 125°
    Also y = z = 125° [Vertically opposite angles]
    Thus, x = 55°, y = 125° and z = 125°.

    (ii) 40° + x + 25° = 180° [Angles on straight line]
    ⇒ 65° + x = 180°
    ⇒ x = 180° – 65° = 115°
    Now 40° + y = 180° [Linear pair]
    ⇒ y = 180° – 40° = 140° ……….(i)
    Also y+z = 180°
    ⇒ 140° + z = 180° [Linear pair]
    ⇒ z = 180° – 140° = 40° [From equation (i)]
    Thus, x = 115°, y = 140° and z = 40°

    Class 7 Maths Chapter 5 Exercise 5.1

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-7/maths/chapter-5/

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