Read and download free pdf of CBSE Class 9 Mathematics Lines And Angles Worksheet Set A. Students and teachers of Class 9 Mathematics can get free printable Worksheets for Class 9 Mathematics Chapter 6 Lines and Angles in PDF format prepared as per the latest syllabus and examination pattern in your schools. Class 9 students should practice questions and answers given here for Mathematics in Class 9 which will help them to improve your knowledge of all important chapters and its topics. Students should also download free pdf of Class 9 Mathematics Worksheets prepared by school teachers as per the latest NCERT, CBSE, KVS books and syllabus issued this academic year and solve important problems with solutions on daily basis to get more score in school exams and tests
Worksheet for Class 9 Mathematics Chapter 6 Lines and Angles
Class 9 Mathematics students should refer to the following printable worksheet in Pdf for Chapter 6 Lines and Angles in Class 9. This test paper with questions and answers for Class 9 will be very useful for exams and help you to score good marks
Class 9 Mathematics Worksheet for Chapter 6 Lines and Angles
CBSE Class 9 Mathematics Worksheet Lines and Angles - Practice worksheets for CBSE students. Prepared by teachers of the best CBSE schools in India.
ASSERTION & REASONING QUESTIONS
DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R).
Mark the correct choice as:
(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.
Question. Assertion : If angles ‘a ’ and ‘b’ form a linear pair of angles and a = 40°, then b = 150°.
Reason : Sum of linear pair of angles is always 180°.
(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.
Answer : We know that the sum of linear pair of angles is always 180°.
So, Reason is correct.
Now, a + b = 40° + 150° = 190° ≠180°
Hence, Assertion is not correct
Correct option is (d) Assertion (A) is false but reason (R) is true.
Question. 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 100°.
Reason : If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 180°.
Answer : We know If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 180° hat the solution of the line will satisfy the equation of the line.
So, Reason is correct.
Let the angles be 5x and 4x
Since, these two angles are co-interior angles. So, we
have 5x + 4x = 180° ⇒ 9x = 180° ⇒ x = 20°
Hence, greater angle = 5x = 5 x 20° = 100°
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) .
Question. Assertion : An angle is 140 more than its complementary angle, then angle is 520.
Reason : Two angles are said to be supplementary if their sum of measure of angles is 180°.
Answer : We know that two angles are said to be supplementary if their sum of measure of angles is 180°.
So, Reason is correct.
Let the angle be x . Complement of x = (90° - x)
Since, the difference is 140, we have x – (90° – x) = 140
⇒ 2x = 104°
⇒ x = 52°
So, Assertion is also correct
But reason (R) is not the correct explanation of assertion (A) .
Correct option is (b) Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A) .
Question. Assertion : Supplement of angle is one fourth of itself. The measure of the angle is 1440.
Reason : Two angles are said to be supplementary if their sum of measure of angles is 180°.
Answer : We know that two angles are said to be supplementary if their sum of measure of angles is 180°.
So, Reason is correct.
Let the angle be x . Supplement of x = (1/4) x
So, x + 1/2 x = 180° ⇒ (5/4) x = 180° ⇒ x = 144°
So, Assertion is also correct
Also, reason (R) is the correct explanation of assertion (A) .
Correct option is (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A) .
Question. Assertion: The value of x from the adjoining figure, if l || m is 150.
Reason: If two parallel lines are intersected by a transversal, then each pair of corresponding angles so formed is equal.
Answer : We know that If two parallel lines are intersected by a transversal, then each pair of corresponding angles so formed is equal.
So, Reason is correct.
Also, we know that If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 180°.
From figure we have, 120° – x + 5x = 180°
⇒ 4x = 180° – 120°
⇒ 4x = 60°
⇒ x = 15°
So, Assertion is also correct.
But reason (R) is not the correct explanation of assertion (A) .
Correct option is (b) Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A) .
Question. Assertion : If two internal opposite angles of a triangle are equal and external angle is given to be 110°, then each of the equal internal angle is 55°.
Reason : A triangle with one of its angle 900, is called a right triangle.
Answer : For Assertion: We know that the exterior angle is equal to the sum of its interior opposite angles. So, x + x = 110°.
⇒ 2x = 110°
⇒ x = 55°
So, Assertion is correct
Also, we know that a triangle with one of its angle 900, is called a right triangle.
So, Reason is also correct.
But reason (R) is not the correct explanation of assertion (A) .
Correct option is (b) Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A) .
Question. Assertion : Sum of the pair of angles 120° and 60° is supplementary.
Reason : Two angles, the sum of whose measures is 180°, are called supplementary angles.
Answer : We know that two angles are said to be supplementary if their sum of measure of angles is 180°.
So, Reason is correct.
Now, 120° + 60° = 180° ⇒ Sum of the pair of angles 120° and 60° is supplementary.
So, Assertion is also correct
Also, reason (R) is the correct explanation of assertion (A) .
Correct option is (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A) .
Question. Assertion : A triangle can have two obtuse angles.
Reason : The sum of all the interior angles of a triangle is 180°
(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.
Answer : We know that the sum of all the interior angles of a triangle is 180°.
So, Reason (R) is true.
Since the Sum of two obtuse angles will be more than 180°.
So, Assertion (A) is false.
Correct option is (d) Assertion (A) is false but reason (R) is true.
Question. Assertion: The angles of a triangle are in the ratio 2 : 3 : 4. The largest angle of the triangle is 800.
Reason: The sum of all the interior angles of a triangle is 180°
Answer : We know that the sum of all the interior angles of a triangle is 180°.
So, Reason (R) is true.
Let the angles of a triangle be 2x, 3x and 4x then we have
2x + 3x + 4x = 180°
⇒ 9x = 180°
⇒ x = 20°.
Hence, Largest angle = 4 x 20° = 80°.
So, Assertion (A) is also true.
Also, Reason (R) is a correct explanation of Assertion (A) .
Correct option is (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A) .
Question. Assertion: In the given figure, AOB is a straight line. If ∠AOC = (3x + 10) ° and ∠BOC (4x − 26) °, then ∠BOC = 860
Reason: The sum of angles that are formed on a straight line is equal to 180°.
Answer : We know that the sum of angles that are formed on a straight line is equal to 180°.
So, Reason is correct
We have : ∠AOC+∠BOC=180° [Since AOB is a straight line ]
⇒3x + 10 + 4x − 26 = 180°
⇒7x = 196°
⇒x = 28°
∴∠BOC = [4 × 28 − 26]°
⇒∠BOC=86°.
So, Assertion (A) is also true.
Correct option is (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A) .
Question. Assertion : The angles of a triangle are in the ration 3 : 5 : 7. The triangle is acuteangled
Reason : The sum of angles that are formed on a straight line is equal to 180°.
Answer : We know that the sum of angles that are formed on a straight line is equal to 180°.
So, Reason is correct
Also, the sum of all the interior angles of a triangle is 180°
Let the angles measure (3x) °, (5x) ° and (7x) °.
Then,3x + 5x + 7x = 180° ⇒15x = 180° ⇒x = 12°
Therefore, the angles are 3(12) °=36°, 5(12) °= 60° and 7(12) ° = 84°.
Hence, the triangle is acute-angled.
So, Assertion (A) is also true.
But reason (R) is not the correct explanation of assertion (A) .
Correct option is (b) Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A) .
Students must free download and practice these worksheets to gain more marks in exams. CBSE Class 9 Mathematics Worksheet Lines and Angles
More Study Material
CBSE Class 9 Mathematics Chapter 6 Lines and Angles Worksheet
We hope students liked the above worksheet for Chapter 6 Lines and Angles designed as per the latest syllabus for Class 9 Mathematics released by CBSE. Students of Class 9 should download in Pdf format and practice the questions and solutions given in the above worksheet for Class 9 Mathematics on a daily basis. All the latest worksheets with answers have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their class tests and examinations. Studiestoday is the best portal for Class 9 students to get all the latest study material free of cost.
Worksheet for Mathematics CBSE Class 9 Chapter 6 Lines and Angles
Expert teachers of studiestoday have referred to the NCERT book for Class 9 Mathematics to develop the Mathematics Class 9 worksheet. If you download the practice worksheet for one chapter daily, you will get higher and better marks in Class 9 exams this year as you will have stronger concepts. Daily questions practice of Mathematics worksheet and its study material will help students to have a stronger understanding of all concepts and also make them experts on all scoring topics. You can easily download and save all revision worksheet for Class 9 Mathematics also from www.studiestoday.com without paying anything in Pdf format. After solving the questions given in the worksheet which have been developed as per the latest course books also refer to the NCERT solutions for Class 9 Mathematics designed by our teachers
Chapter 6 Lines and Angles worksheet Mathematics CBSE Class 9
All worksheets given above for Class 9 Mathematics have been made as per the latest syllabus and books issued for the current academic year. The students of Class 9 can be rest assured that the answers have been also provided by our teachers for all worksheet of Mathematics so that you are able to solve the questions and then compare your answers with the solutions provided by us. We have also provided a lot of MCQ questions for Class 9 Mathematics in the worksheet so that you can solve questions relating to all topics given in each chapter. All study material for Class 9 Mathematics students have been given on studiestoday.
Chapter 6 Lines and Angles CBSE Class 9 Mathematics Worksheet
Regular worksheet practice helps to gain more practice in solving questions to obtain a more comprehensive understanding of Chapter 6 Lines and Angles concepts. Worksheets play an important role in developing an understanding of Chapter 6 Lines and Angles in CBSE Class 9. Students can download and save or print all the worksheets, printable assignments, and practice sheets of the above chapter in Class 9 Mathematics in Pdf format from studiestoday. You can print or read them online on your computer or mobile or any other device. After solving these you should also refer to Class 9 Mathematics MCQ Test for the same chapter.
Worksheet for CBSE Mathematics Class 9 Chapter 6 Lines and Angles
CBSE Class 9 Mathematics best textbooks have been used for writing the problems given in the above worksheet. If you have tests coming up then you should revise all concepts relating to Chapter 6 Lines and Angles and then take out a print of the above worksheet and attempt all problems. We have also provided a lot of other Worksheets for Class 9 Mathematics which you can use to further make yourself better in Mathematics
You can download the CBSE Printable worksheets for Class 9 Mathematics Chapter 6 Lines and Angles for latest session from StudiesToday.com
Yes, you can click on the links above and download Printable worksheets in PDFs for Chapter 6 Lines and Angles Class 9 for Mathematics
Yes, the Printable worksheets issued for Class 9 Mathematics Chapter 6 Lines and Angles have been made available here for latest academic session
You can easily access the links above and download the Class 9 Printable worksheets Mathematics Chapter 6 Lines and Angles for each chapter
There is no charge for the Printable worksheets for Class 9 CBSE Mathematics Chapter 6 Lines and Angles you can download everything free
Regular revision of practice worksheets given on studiestoday for Class 9 subject Mathematics Chapter 6 Lines and Angles can help you to score better marks in exams
Yes, studiestoday.com provides all latest NCERT Chapter 6 Lines and Angles Class 9 Mathematics test sheets with answers based on the latest books for the current academic session
Yes, studiestoday provides worksheets in Pdf for Chapter 6 Lines and Angles Class 9 Mathematics in mobile-friendly format and can be accessed on smartphones and tablets.
Yes, worksheets for Chapter 6 Lines and Angles Class 9 Mathematics are available in multiple languages, including English, Hindi