Class 9 Exam > Class 9 Questions > Direction: In each of the following question...
Start Learning for Free
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 : If the angles of a quadrilateral are in the ratio 2 : 3 : 7 : 6, then the measure of angles are 40º, 60º, 140º, 120º, respectively.
Reason : The 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?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Direction: In each of the following questions, a statement of Asserti...
2x + 3x + 7x + 6x = 360º
View all questions of this test
=> 18x = 360º
=> x = 360º/18 = 20º
First angle = 2 × 20º = 40º
Second angle = 3 × 20º = 60º
Third angle = 7 x 20º = 140º
Fourth angle = 6 x 20º = 120º
Most Upvoted Answer
Direction: In each of the following questions, a statement of Asserti...
Assertion: If the angles of a quadrilateral are in the ratio 2 : 3 : 7 : 6, then the measure of angles are 40º, 60º, 140º, 120º, respectively.
Reason: The sum of the angles of a quadrilateral is 360º.
Explanation:
To determine the measure of angles in a quadrilateral, we need to understand the concept of the sum of angles in a quadrilateral.
Sum of angles in a quadrilateral:
The sum of angles in a quadrilateral is always equal to 360 degrees. This is a well-known property of a quadrilateral.
Explanation of the assertion:
When the angles of a quadrilateral are in the ratio of 2 : 3 : 7 : 6, we can represent these angles as 2x, 3x, 7x, and 6x, respectively, where x is a constant.
According to the assertion, the angles are in the ratio 2 : 3 : 7 : 6. Let's calculate the total sum of these angles:
Sum of angles = 2x + 3x + 7x + 6x = 18x
To find the value of x, we need to equate the sum of angles to 360 degrees:
18x = 360
x = 360 / 18
x = 20
Now, we can substitute the value of x in the angles:
Angle 1 = 2x = 2 * 20 = 40 degrees
Angle 2 = 3x = 3 * 20 = 60 degrees
Angle 3 = 7x = 7 * 20 = 140 degrees
Angle 4 = 6x = 6 * 20 = 120 degrees
Therefore, the measure of angles in the quadrilateral is 40º, 60º, 140º, and 120º, respectively.
Explanation of the reason:
The reason provided is the well-known property that the sum of angles in a quadrilateral is always equal to 360 degrees.
Conclusion:
From the above explanation, we can conclude that both the assertion and reason are true, and the reason is the correct explanation of the assertion.
Reason: The sum of the angles of a quadrilateral is 360º.
Explanation:
To determine the measure of angles in a quadrilateral, we need to understand the concept of the sum of angles in a quadrilateral.
Sum of angles in a quadrilateral:
The sum of angles in a quadrilateral is always equal to 360 degrees. This is a well-known property of a quadrilateral.
Explanation of the assertion:
When the angles of a quadrilateral are in the ratio of 2 : 3 : 7 : 6, we can represent these angles as 2x, 3x, 7x, and 6x, respectively, where x is a constant.
According to the assertion, the angles are in the ratio 2 : 3 : 7 : 6. Let's calculate the total sum of these angles:
Sum of angles = 2x + 3x + 7x + 6x = 18x
To find the value of x, we need to equate the sum of angles to 360 degrees:
18x = 360
x = 360 / 18
x = 20
Now, we can substitute the value of x in the angles:
Angle 1 = 2x = 2 * 20 = 40 degrees
Angle 2 = 3x = 3 * 20 = 60 degrees
Angle 3 = 7x = 7 * 20 = 140 degrees
Angle 4 = 6x = 6 * 20 = 120 degrees
Therefore, the measure of angles in the quadrilateral is 40º, 60º, 140º, and 120º, respectively.
Explanation of the reason:
The reason provided is the well-known property that the sum of angles in a quadrilateral is always equal to 360 degrees.
Conclusion:
From the above explanation, we can conclude that both the assertion and reason are true, and the reason is the correct explanation of the assertion.
Free Test
FREE
| Start Free Test |
Community Answer
Direction: In each of the following questions, a statement of Asserti...
B)
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
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 : If the angles of a quadrilateral are in the ratio 2 : 3 : 7 : 6, then the measure of angles are 40º, 60º, 140º, 120º, respectively.Reason : The 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?
Question Description
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 : If the angles of a quadrilateral are in the ratio 2 : 3 : 7 : 6, then the measure of angles are 40º, 60º, 140º, 120º, respectively.Reason : The 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 : If the angles of a quadrilateral are in the ratio 2 : 3 : 7 : 6, then the measure of angles are 40º, 60º, 140º, 120º, respectively.Reason : The 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 : If the angles of a quadrilateral are in the ratio 2 : 3 : 7 : 6, then the measure of angles are 40º, 60º, 140º, 120º, respectively.Reason : The 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?.
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 : If the angles of a quadrilateral are in the ratio 2 : 3 : 7 : 6, then the measure of angles are 40º, 60º, 140º, 120º, respectively.Reason : The 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 : If the angles of a quadrilateral are in the ratio 2 : 3 : 7 : 6, then the measure of angles are 40º, 60º, 140º, 120º, respectively.Reason : The 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 : If the angles of a quadrilateral are in the ratio 2 : 3 : 7 : 6, then the measure of angles are 40º, 60º, 140º, 120º, respectively.Reason : The 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?.
Solutions 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 : If the angles of a quadrilateral are in the ratio 2 : 3 : 7 : 6, then the measure of angles are 40º, 60º, 140º, 120º, respectively.Reason : The 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? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of 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 : If the angles of a quadrilateral are in the ratio 2 : 3 : 7 : 6, then the measure of angles are 40º, 60º, 140º, 120º, respectively.Reason : The 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? defined & explained in the simplest way possible. Besides giving the explanation of
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 : If the angles of a quadrilateral are in the ratio 2 : 3 : 7 : 6, then the measure of angles are 40º, 60º, 140º, 120º, respectively.Reason : The 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?, a detailed solution 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 : If the angles of a quadrilateral are in the ratio 2 : 3 : 7 : 6, then the measure of angles are 40º, 60º, 140º, 120º, respectively.Reason : The 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? has been provided alongside types of 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 : If the angles of a quadrilateral are in the ratio 2 : 3 : 7 : 6, then the measure of angles are 40º, 60º, 140º, 120º, respectively.Reason : The 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? theory, EduRev gives you an
ample number of questions to practice 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 : If the angles of a quadrilateral are in the ratio 2 : 3 : 7 : 6, then the measure of angles are 40º, 60º, 140º, 120º, respectively.Reason : The 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? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup