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Find the measure of โˆ P and โˆ S if ๐‘†ฬ…ฬ…๐‘ƒฬ…||๐‘…ฬ…ฬ…๐‘„ฬ… in given figure. (If you find mโˆ R is there more than one method to find mโˆ 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, โˆ P+ โˆ Q 180ยฐ [Sum of co-interior angles is 180ยฐ]
    โ‡’ โˆ P+130ยฐ=180ยฐ
    โ‡’ โˆ P=180ยฐ-130ยฐ
    โ‡’ โˆ P=50ยฐ
    โˆต โˆ R=90ยฐ [Given]
    โˆด โˆ S+90ยฐ=180ยฐ
    โ‡’ โˆ S=180ยฐ-90ยฐ
    โ‡’ โˆ S= 90ยฐ

    Yes, one more method is there to find โˆ P.
    โˆ s + โˆ R + โˆ Q+ โˆ P=360ยฐ [Angle sum property of quadrilateral]
    โ‡’ 90ยฐ+90ยฐ + 130ยฐ+ โˆ p=360ยฐ
    โ‡’ 310ยฐ+ โˆ P=360ยฐ
    โ‡’ โˆ P=360ยฐ-310ยฐ
    โ‡’ โˆ P=50ยฐ

    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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