Class 8 Exam  >  Class 8 Questions  >  If the sides of a quadrilateral are produced ... Start Learning for Free
If the sides of a quadrilateral are produced in order, what is the sum of the exterior angles so formed?
  • a)
  • 360°
  • b)
  • 540°
  • c)
  • 720°
  • d)
  • 900°
  • Correct answer is option 'A'. Can you explain this answer?
    Most Upvoted Answer
    If the sides of a quadrilateral are produced in order, what is the sum...
    When the sides of a quadrilateral are extended, each exterior angle is the supplementary angle to its interior angle. The sum of the exterior angles of any convex polygon is always 360° because each exterior angle represents a turn around the shape, and all turns together make one full circle. Hence, the sum of the exterior angles of a quadrilateral is 360°.
    Free Test
    Community Answer
    If the sides of a quadrilateral are produced in order, what is the sum...
    Understanding Exterior Angles of a Quadrilateral
    When we talk about a quadrilateral, we refer to a polygon with four sides. When the sides of this quadrilateral are extended, they create exterior angles at each vertex. The question asks for the sum of these exterior angles.
    Concept of Exterior Angles
    - An exterior angle is formed when a side of a polygon is extended.
    - For any polygon, the exterior angle at each vertex is equal to 180° minus the interior angle at that vertex.
    Sum of Exterior Angles Formula
    - The important property to remember is that the sum of the exterior angles of any polygon, regardless of the number of sides, is always 360°.
    - This rule holds true for a quadrilateral, as well as for any other polygon.
    Why is the Sum Always 360°?
    - As you move around the polygon, each time you make a turn at a vertex (exterior angle), you are effectively turning a total of 360 degrees to return to your starting point.
    - Hence, no matter how many sides the polygon has, the total amount of rotation (and therefore the total of the exterior angles) remains constant at 360°.
    Conclusion
    In conclusion, when the sides of a quadrilateral are produced in order, the sum of the exterior angles formed is always:
    - 360°
    Thus, the correct answer is option A. This fundamental property is not only crucial for understanding quadrilaterals but also applies to polygons of any shape and size.
    Explore Courses for Class 8 exam

    Top Courses for Class 8

    Question Description
    If the sides of a quadrilateral are produced in order, what is the sum of the exterior angles so formed?a) 360°b) 540°c) 720°d) 900°Correct answer is option 'A'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If the sides of a quadrilateral are produced in order, what is the sum of the exterior angles so formed?a) 360°b) 540°c) 720°d) 900°Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sides of a quadrilateral are produced in order, what is the sum of the exterior angles so formed?a) 360°b) 540°c) 720°d) 900°Correct answer is option 'A'. Can you explain this answer?.
    Solutions for If the sides of a quadrilateral are produced in order, what is the sum of the exterior angles so formed?a) 360°b) 540°c) 720°d) 900°Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 8. Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
    Here you can find the meaning of If the sides of a quadrilateral are produced in order, what is the sum of the exterior angles so formed?a) 360°b) 540°c) 720°d) 900°Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If the sides of a quadrilateral are produced in order, what is the sum of the exterior angles so formed?a) 360°b) 540°c) 720°d) 900°Correct answer is option 'A'. Can you explain this answer?, a detailed solution for If the sides of a quadrilateral are produced in order, what is the sum of the exterior angles so formed?a) 360°b) 540°c) 720°d) 900°Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of If the sides of a quadrilateral are produced in order, what is the sum of the exterior angles so formed?a) 360°b) 540°c) 720°d) 900°Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If the sides of a quadrilateral are produced in order, what is the sum of the exterior angles so formed?a) 360°b) 540°c) 720°d) 900°Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 8 tests.
    Explore Courses for Class 8 exam

    Top Courses for Class 8

    Explore Courses
    Signup for Free!
    Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
    10M+ students study on EduRev
    Get App