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Find the measure of ∠P and ∠S if 𝑆̅̅𝑃̅||𝑅̅̅𝑄̅ in given figure. (If you find m∠R is there more than one method to find m∠P)

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NCERT Solutions for Class 8 Mathematics Chapter 3
Important NCERT Questions
Understanding Quadrilaterals Chapter 3 Exercise 3.3
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 12

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1 Answer

  1. Here, ∠P+ ∠Q 180° [Sum of co-interior angles is 180°]
    ⇒ ∠P+130°=180°
    ⇒ ∠P=180°-130°
    ⇒ ∠P=50°
    ∵ ∠R=90° [Given]
    ∴ ∠S+90°=180°
    ⇒ ∠S=180°-90°
    ⇒ ∠S= 90°

    Yes, one more method is there to find ∠P.
    ∠s + ∠R + ∠Q+ ∠P=360° [Angle sum property of quadrilateral]
    ⇒ 90°+90° + 130°+ ∠p=360°
    ⇒ 310°+ ∠P=360°
    ⇒ ∠P=360°-310°
    ⇒ ∠P=50°

    Class 8 Maths Chapter 3 Exercise 3.3 Solution in Video

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

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