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Direction: In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct.
Assertion : The angles of a quadrilateral are xº, (x - 10)º , (x + 30)º and (2x)º , the smallest angle is equal to 58º.
Reason : Sum of the angles of a quadrilateral is 360º.
  • a)
    Assertion and reason are true and reason is the correct explanation of assertion.
  • b)
    Both assertion and reason are true but reason is not the correct explanation of assertion.
  • c)
    Assertion is true but reason is false.
  • d)
    Assertion is false but reason is true.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Direction: In each of the following questions, a statement of Asserti...
Given angles(in degrees) = x, x - 10, x = 30, 2x
sum of all angles 0 a quadrilateral is 360
=> x + x - 10 + x + 30 + 2x = 360
=> 5x = 20 = 360
=> 5x = 340
=> x = 68
smallest angle is x - 10
i.e. 68 - 10 = 58 degrees.
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Most Upvoted Answer
Direction: In each of the following questions, a statement of Asserti...
Explanation:

  • The sum of the angles of a quadrilateral is always 360º.

  • The given quadrilateral has angles xº, (x - 10)º, (x + 30)º and 2xº.

  • Therefore, x + (x - 10) + (x + 30) + 2x = 360º (using the sum of angles of a quadrilateral)

  • Simplifying the equation, we get 5x + 20 = 360

  • Hence, 5x = 340 or x = 68

  • The smallest angle is x - 10 = 58º (given)

  • Therefore, assertion and reason are true and reason is the correct explanation of assertion.

  • Hence, the correct answer is option A.

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Direction: In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct.Assertion : The angles of a quadrilateral are xº, (x - 10)º , (x + 30)º and (2x)º , the smallest angle is equal to 58º.Reason : Sum of the angles of a quadrilateral is 360º.a)Assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'A'. Can you explain this answer?
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Direction: In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct.Assertion : The angles of a quadrilateral are xº, (x - 10)º , (x + 30)º and (2x)º , the smallest angle is equal to 58º.Reason : Sum of the angles of a quadrilateral is 360º.a)Assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'A'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Direction: In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct.Assertion : The angles of a quadrilateral are xº, (x - 10)º , (x + 30)º and (2x)º , the smallest angle is equal to 58º.Reason : Sum of the angles of a quadrilateral is 360º.a)Assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct.Assertion : The angles of a quadrilateral are xº, (x - 10)º , (x + 30)º and (2x)º , the smallest angle is equal to 58º.Reason : Sum of the angles of a quadrilateral is 360º.a)Assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'A'. Can you explain this answer?.
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