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Find x in the following figures:

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NCERT Solutions for Class 8 Mathematics Chapter 3
Important NCERT Questions
Understanding Quadrilaterals Chapter 3 Exercise 3.2
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 1

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1 Answer

  1. Here, 125° + m = 180° [Linear pair]
    ⇒ m = 180 – 125° = 55°
    and 125°+n=180° [Linear pair]
    ⇒ n=180°-125° = 55°

    ∵ Exterior angle x° = Sum of opposite interior angles
    ∴x=55°+55°=110°

    (b) Sum of angles of a pentagon = (n-2) x 180°
    = (5-2) x 180°
    = 3×180°=540°
    By linear pairs of angles,
    ∠1 +90° = 180° …………(i)
    ∠2 +60° = 180° …………(ii)
    ∠3 +90° = 180° …………(iii)
    ∠4 +70° =180° …………(iv)
    ∠5 +x = 180° …………(v)

    Adding eq. (i), (ii), (iii), (iv) and (v),

    x + ( ∠1 + ∠2 + ∠3 + ∠4 +∠5) + 310° = 900
    ⇒ x+540°+310°=900° ⇒x+850°=900° ⇒x=900°-850°=50°

    Class 8 Maths Chapter 3 Exercise 3.2 Solution in Video

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-3/

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