Class 9 Exam > Class 9 Questions > DIRECTION : In the following questions, a st...
Start Learning for Free
DIRECTION : In the following questions, a statement of assertion (A) is followed by a
statement of reason (R). Mark the correct choice as:
Assertion : If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5 : 4, then the greater of the two angles is 1000.
Reason : If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 1800.
- a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
- b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
- c)Assertion (A) is true but reason (R) is false.
- d)Assertion (A) is false but reason (R) 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 the following questions, a statement of assertion (A) ...
We know If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 1800 hat the solution of the line will satisfy the equation of the line.
View all questions of this test
So, Reason is correct.
Let the angles be 5x and 4x
Since, these two angles are co-interior angles. So, we have 5x + 4x = 1800
⇒ 9x = 1800 ⇒ x = 200
Hence, greater angle = 5x = 5 x 200 = 1000
So, Assertion is also correct
Correct option is (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
Most Upvoted Answer
DIRECTION : In the following questions, a statement of assertion (A) ...
Assertion: If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5:4, then the greater of the two angles is 1000.
Reason: If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 1800.
Explanation:
To understand this assertion and reason, let's first recall some basic concepts related to angles formed by a transversal intersecting two parallel lines.
When a transversal intersects two parallel lines, several pairs of angles are formed. These angles can be classified into four types:
1. Corresponding angles: Angles that are in the same position on different lines when the transversal crosses them.
2. Alternate interior angles: Angles that are on opposite sides of the transversal and inside the two parallel lines.
3. Alternate exterior angles: Angles that are on opposite sides of the transversal and outside the two parallel lines.
4. Consecutive interior angles (also known as interior angles on the same side of the transversal): Angles that are on the same side of the transversal and inside the two parallel lines.
In this question, we are specifically referring to the consecutive interior angles (interior angles on the same side of the transversal).
The assertion states that if two consecutive interior angles are in the ratio 5:4, then the greater of the two angles is 1000. Let's assume that the measures of the angles are 5x and 4x (where x is a positive constant).
Now, let's consider the reason given. It states that if a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 180 degrees.
This reason is true and can be proved using the concept of corresponding angles. When a transversal intersects two parallel lines, the corresponding angles are congruent. Therefore, the sum of the interior angles on the same side of the transversal is equal to the sum of the corresponding angles, which is 180 degrees.
In conclusion, both the assertion and the reason are true, and the reason is the correct explanation of the assertion.
Reason: If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 1800.
Explanation:
To understand this assertion and reason, let's first recall some basic concepts related to angles formed by a transversal intersecting two parallel lines.
When a transversal intersects two parallel lines, several pairs of angles are formed. These angles can be classified into four types:
1. Corresponding angles: Angles that are in the same position on different lines when the transversal crosses them.
2. Alternate interior angles: Angles that are on opposite sides of the transversal and inside the two parallel lines.
3. Alternate exterior angles: Angles that are on opposite sides of the transversal and outside the two parallel lines.
4. Consecutive interior angles (also known as interior angles on the same side of the transversal): Angles that are on the same side of the transversal and inside the two parallel lines.
In this question, we are specifically referring to the consecutive interior angles (interior angles on the same side of the transversal).
The assertion states that if two consecutive interior angles are in the ratio 5:4, then the greater of the two angles is 1000. Let's assume that the measures of the angles are 5x and 4x (where x is a positive constant).
Now, let's consider the reason given. It states that if a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 180 degrees.
This reason is true and can be proved using the concept of corresponding angles. When a transversal intersects two parallel lines, the corresponding angles are congruent. Therefore, the sum of the interior angles on the same side of the transversal is equal to the sum of the corresponding angles, which is 180 degrees.
In conclusion, both the assertion and the reason are true, and the reason is the correct explanation of the assertion.
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 the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5 : 4, then the greater of the two angles is 1000.Reason : If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 1800.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?
Question Description
DIRECTION : In the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5 : 4, then the greater of the two angles is 1000.Reason : If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 1800.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) 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 the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5 : 4, then the greater of the two angles is 1000.Reason : If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 1800.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) 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 the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5 : 4, then the greater of the two angles is 1000.Reason : If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 1800.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?.
DIRECTION : In the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5 : 4, then the greater of the two angles is 1000.Reason : If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 1800.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) 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 the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5 : 4, then the greater of the two angles is 1000.Reason : If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 1800.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) 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 the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5 : 4, then the greater of the two angles is 1000.Reason : If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 1800.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?.
Solutions for DIRECTION : In the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5 : 4, then the greater of the two angles is 1000.Reason : If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 1800.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) 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 the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5 : 4, then the greater of the two angles is 1000.Reason : If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 1800.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) 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 the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5 : 4, then the greater of the two angles is 1000.Reason : If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 1800.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for DIRECTION : In the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5 : 4, then the greater of the two angles is 1000.Reason : If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 1800.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of DIRECTION : In the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5 : 4, then the greater of the two angles is 1000.Reason : If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 1800.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) 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 the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5 : 4, then the greater of the two angles is 1000.Reason : If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 1800.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup