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# NCERT solutions for Class 7 Mathematics chapter 5 - Lines and Angles

## Chapter 5 : Lines and Angles

#### Pages 81 - 105

Q 1.1 | Page 81

Complete the last column of the table.

 S.No Equation Value Say, whether the Equation is Satisfied. (Yes/ No) 1 x + 3 = 0 x = 3

Q 1.1 | Page 101

Find the complement of the following angles:

Q 1.1 | Page 81

Complete the last column of the table.

 S.No Equation Value Say, whether the Equation is Satisfied. (Yes/ No) 10 m/3 = 2 m = 0 -

Q 1.1 | Page 81

Complete the last column of the table.

 S.No Equation Value Say, whether the Equation is Satisfied. (Yes/ No) 11 m/3 = 2 m = 6 -

Q 1.2 | Page 101

Find the complement of the following angles:

Q 1.2 | Page 81

Complete the last column of the table.

 S.No Equation Value Say, whether the Equation is Satisfied. (Yes/ No) 2 x + 3 = 0 x = 0 -

Q 1.3 | Page 101

Find the complement of the following angles:

Q 1.3 | Page 81

Complete the last column of the table.

 S.No Equation Value Say, whether the Equation is Satisfied. (Yes/ No) 3 x + 3 = 0 x = -3 -

Q 1.4 | Page 81

Complete the last column of the table.

 S.No Equation Value Say, whether the Equation is Satisfied. (Yes/ No) 4 x - 7 = 1 x = 7 -

Q 1.5 | Page 81

Complete the last column of the table.

 S.No Equation Value Say, whether the Equation is Satisfied. (Yes/ No) 5 x - 7 = 1 x = 8 -

Q 1.6 | Page 81

Complete the last column of the table.

 S.No Equation Value Say, whether the Equation is Satisfied. (Yes/ No) 6 5x = 25 x = 0 -

Q 1.7 | Page 81

Complete the last column of the table.

 S.No Equation Value Say, whether the Equation is Satisfied. (Yes/ No) 7 5x = 25 x = -5 -

Q 1.8 | Page 81

Complete the last column of the table.

 S.No Equation Value Say, whether the Equation is Satisfied. (Yes/ No) 8 5x = 25 x = -5 -

Q 1.9 | Page 81

Complete the last column of the table.

 S.No Equation Value Say, whether the Equation is Satisfied. (Yes/ No) 9 m/3 = 2 m = -6 -

Q 2.1 | Page 81

Check whether the value given in the bracket is a solution to the given equation or not:

n + 5 = 19 (n = 1)

Q 2.1 | Page 102

Find the supplement of the following angles:

Q 2.2 | Page 102

Find the supplement of the following angles:

Q 2.2 | Page 81

Check whether the value given in the brackets is a solution to the given equation or not:

7n + 5 = 19 (n = − 2)

Q 2.3 | Page 102

Find the supplement of the following angles:

Q 2.3 | Page 81

Check whether the value given in the brackets is a solution to the given equation or not:

7n + 5 = 19 (n = 2)

Q 2.4 | Page 81

Check whether the value given in the brackets is a solution to the given equation or not:

4p − 3 = 13 (p = 1)

Q 2.5 | Page 81

Check whether the value given in the brackets is a solution to the given equation or not:

4p − 3 = 13 (p = − 4)

Q 2.6 | Page 81

Check whether the value given in the brackets is a solution to the given equation or not:

4p − 3 = 13 (p = 0)

Q 3.1 | Page 102

Identify the given pairs of angles are complementary or supplementary.

65°, 115°

Q 3.1 | Page 81

Solve the following equations by trial and error method:

5p + 2 = 17

Q 3.2 | Page 102

Identify the given pairs of angles are complementary or supplementary.

63°, 27°

Q 3.2 | Page 81

Solve the following equations by trial and error method:

3m - 14 = 4

Q 3.3 | Page 102

Identify the given pairs of angles are complementary or supplementary.

Q 3.4 | Page 102

Identify the given pairs of angles are complementary or supplementary.

130°, 50°

Q 3.5 | Page 102

Identify the given pairs of angles are complementary or supplementary.

45°, 45°

Q 3.6 | Page 102

Identify the given pairs of angles are complementary or supplementary.

80°, 10°

Q 4 | Page 105

Find the angle which is equal to its complement.

Q 4.1 | Page 81

Write equations for the following statement

The sum of numbers x and 4 is 9.

Q 4.2 | Page 81

Write equations for the following statement:

2 subtracted from y is 8

Q 4.3 | Page 81

Write equations for the following statement:

Ten times a is 70.

Q 4.4 | Page 81

Write equations for the following statements:

The number b divided by 5 gives 6.

Q 4.5 | Page 81

Write equations for the following statements:

Three-fourth of t is 15.

Q 4.6 | Page 81

Write equations for the following statements:

Seven times m plus 7 gets you 77.

Q 4.7 | Page 81

Write equations for the following statements:

One-fourth of a number x minus 4 gives 4.

Q 4.8 | Page 81

Write equations for the following statements:

If you take away 6 from 6 times y, you get 60.

Q 4.9 | Page 81

Write equations for the following statements:

If you add 3 to one-third of z, you get 30.

Q 5 | Page 102

Find the angle which is equal to its supplement.

Q 5.1 | Page 81

Write the given equations in statement forms:

p + 4 = 15

Q 5.2 | Page 81

Write the given equations in statement forms:

m − 7 = 3

Q 5.3 | Page 81

Write the given equations in statement forms:

2m = 7

Q 5.4 | Page 81

Write the given equations in statement forms:

m/5 = 3

Q 5.5 | Page 81

Write the given equations in statement forms:

(3m)/5 = 6

Q 5.6 | Page 81

Write the given equations in statement forms:

3p + 4 = 25

Q 5.7 | Page 81

Write the given equations in statement forms:

4p − 2 = 18

Q 5.8 | Page 81

Write the given equations in statement forms:

p/2 + 2= 8

Q 6 | Page 102

In the given figure, ∠1 and ∠2 are supplementary angles. If ∠1 is decreased, what changes should take place in ∠2 so that both the angles still remain supplementary.

Q 6.1 | Page 82

Set up an equation in the following case:

Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has 37 marbles. (Take m to be the number of Parmit’s marbles.)

Q 6.2 | Page 82

Set up an equation in the following case:

Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age. (Take Laxmi’s age to be y years.)

Q 6.3 | Page 82

Set up an equation in the following case:

The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. The highest score is 87. (Take the lowest score to be l.)

Q 6.4 | Page 82

Set up an equation in the following case:

In an isosceles triangle, the vertex angle is twice either base angle. (Let the base angle be b in degrees. Remember that the sum of angles of a triangle is 180 degrees.)

Q 7.1 | Page 102

Can two angles be supplementary if both of them are:acute?

Q 7.2 | Page 102

Can two angles be supplementary if both of them are:Obtuse?

Q 7.3 | Page 102

Can two angles be supplementary if both of them are:Right?

Q 8 | Page 102

An angle is greater than 45°. Is its complementary angle greater than 45° or equal to 45° or less than 45°?

Q 9 | Page 102

(1) Is ∠1 adjacent to ∠2?

(2) Is ∠AOC adjacent to ∠AOE?

(3) Do ∠COE and ∠EOD form a linear pair?

(4) Are ∠BOD and ∠DOA supplementary?

(5) Is ∠1 vertically opposite to ∠4?

(6) What is the vertically opposite angle of ∠5?

Q 10.1 | Page 102

Indicate which pairs of angles are Vertically opposite angles.

Q 10.2 | Page 102

Indicate which pairs of angles are: Linear pairs.

Q 11 | Page 103

In the following figure, is ∠1 adjacent to ∠2? Give reasons.

Q 12.1 | Page 103

Find the value of the angles xy, and z in the following

Q 12.2 | Page 103

Find the value of the angles xy, and z in the following:

Q 13.1 | Page 103

Fill in the blanks:

If two angles are complementary, then the sum of their measures is _______.

Q 13.2 | Page 103

Fill in the blanks:

If two angles are supplementary, then the sum of their measures is _______.

Q 13.2 | Page 103

Fill in the blanks:

If two angles are supplementary, then the sum of their measures is _______.

Q 13.3 | Page 103

Fill in the blanks:

Two angles forming a linear pair are ______

Q 13.4 | Page 103

Fill in the blanks:

If two adjacent angles are supplementary, they form a _______.

Q 13.5 | Page 103

Fill in the blanks:

If two lines intersect at a point, then the vertically opposite angles are always ______

Q 13.6 | Page 103

Fill in the blanks:

If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are _______.

Q 14 | Page 103

In the adjoining figure, name the following pairs of angles.

1) Obtuse vertically opposite angles

3) Equal supplementary angles

4) Unequal supplementary angles

5) Adjacent angles that do not form a linear pair

#### Pages 86 - 111

Q 1 | Page 110

State the property that is used in each of the following statements?

1) If a||b, then ∠1 = ∠5

2) If ∠4 = ∠6, then a||b

3)  If ∠4 + ∠5 = 180°, then a||b

Q 1.1 | Page 86

Give first the step you will use to separate the variable and then solve the equation:

x + 1 = 0

Q 1.2 | Page 86

Give first the step you will use to separate the variable and then solve the equation:

x + 1 = 0

Q 1.3 | Page 86

Give first the step you will use to separate the variable and then solve the equation:

x - 1 = 5

Q 1.4 | Page 86

Give first the step you will use to separate the variable and then solve the equation:

x + 6 = 2

Q 1.5 | Page 86

Give first the step you will use to separate the variable and then solve the equation:

y − 4 = − 7

Q 1.6 | Page 86

Give first the step you will use to separate the variable and then solve the equation:

− 4 = 4

Q 1.7 | Page 86

Give first the step you will use to separate the variable and then solve the equation:

y + 4 = 4

Q 1.8 | Page 86

Give first the step you will use to separate the variable and then solve the equation:

y + 4 = -4

Q 2 | Page 110

(1) The pairs of corresponding angles

(2) The pairs of alternate interior angles

(3) The pairs of interior angles on the same side of the transversal

(4) The vertically opposite angles

Q 2.1 | Page 86

Give first the step you will use to separate the variable and then solve the equation:

3l = 42

Q 2.11 | Page 86

Solve the following equations:

2q + 6 = 0

Q 2.2 | Page 86

Give first the step you will use to separate the variable and then solve the equation:

b/2 = 6

Q 2.3 | Page 86

Give first the step you will use to separate the variable and then solve the equation:

p/7 = 4

Q 2.4 | Page 86

Give first the step you will use to separate the variable and then solve the equation:

4x = 25

Q 2.5 | Page 86

Give first the step you will use to separate the variable and then solve the equation:

8y = 36

Q 2.6 | Page 86

Give first the step you will use to separate the variable and then solve the equation:

z/3 = 5/4

Q 2.7 | Page 86

Give first the step you will use to separate the variable and then solve the equation:

a/5 = 7/15

Q 2.8 | Page 86

Give first the step you will use to separate the variable and then solve the equation:

20= -10

Q 3 | Page 110

In the adjoining figure, || q. Find the unknown angles.

Q 3.1 | Page 86

Give the steps you will use to separate the variable and then solve the equation

3n − 2 = 46

Q 3.2 | Page 86

Give the steps you will use to separate the variable and then solve the equation:

5m + 7 = 17

Q 3.3 | Page 86

Give the steps you will use to separate the variable and then solve the equation:

(20p)/3 =40

Q 3.4 | Page 86

Give first the step you will use to separate the variable and then solve the equation:

(3p)/10 = 6

Q 4.1 | Page 86

Solve the following equations:

2q − 6 = 0

Q 4.1 | Page 86

Solve the following equations:

10p = 100

Q 4.1 | Page 111

Find the value of x in the following figures if l || m.

Q 4.12 | Page 86

Solve the following equations:

2q + 6 = 12

Q 4.2 | Page 86

Solve the following equations:

10p + 10 = 100

Q 4.2 | Page 111

Find the value of x in the following figures if l || m.

Q 4.3 | Page 86

Solve the following equations:

p/4 = 5

Q 4.4 | Page 86

Solve the following equations:

(-p)/3 = 5

Q 4.5 | Page 86

Solve the following equations:

(3p)/4 = 6

Q 4.6 | Page 86

Solve the following equations:

3s = − 9

Q 4.7 | Page 86

Solve the following equations:

3s + 12 = 0

Q 4.8 | Page 86

Solve the following equations:

3s = 0

Q 4.9 | Page 86

Solve the following equations:

2q = 6

Q 5 | Page 111

In the given figure, the arms of two angles are parallel.

If ∠ABC = 70°, then find

(1) ∠DGC

(2) ∠DEF

Q 6.1 | Page 111

In the given figure below, decide whether l is parallel to m

Q 6.2 | Page 111

In the given figure below, decide whether l is parallel to m

Q 6.3 | Page 111

In the given figure below, decide whether l is parallel to m

Q 6.4 | Page 111

In the given figure below, decide whether l is parallel to m

#### Page 89

Q 1.1 | Page 89

Solve the following equations.

(2b)/3 - 5 = 3

Q 1.1 | Page 89

Solve the following equations.

2y + 5/2 = 37/2

Q 1.2 | Page 89

Solve the following equations.

5t + 28 = 10

Q 1.3 | Page 89

Solve the following equations.

a/5 + 3 = 2

Q 1.4 | Page 89

Solve the following equations.

q/4 + 7 = 5

Q 1.5 | Page 89

Solve the following equations.

5/2 x = -10

Q 1.6 | Page 89

Solve the following equations.

5/2 x = 25/4

Q 1.7 | Page 89

Solve the following equations.

7m + 19/2 = 13

Q 1.8 | Page 89

Solve the following equations

6z + 10 = -2

Q 1.9 | Page 89

Solve the following equations.

(3l)/2 =  2/3

Q 2.1 | Page 89

Solve the following equations.

2 (x + 4) = 12

Q 2.2 | Page 89

Solve the following equations.

3 (n − 5) = 21

Q 2.3 | Page 89

Solve the following equations.

3 (n - 5) = -21

Q 2.4 | Page 89

Solve the following equations.

-4 (2 + x) = 8

Q 2.5 | Page 89

Solve the following equations.

4(2 - x) = 8

Q 3.1 | Page 89

Solve the following equations.

4 = 5 (p - 2)

Q 3.2 | Page 89

Solve the following equations.

-4 = 5 (p - 2)

Q 3.3 | Page 89

Solve the following equations.

16 = 4 + 3 (t + 2)

Q 3.4 | Page 89

Solve the following equations.

4 + 5 (p - 1) = 34

Q 3.4 | Page 89

Solve the following equations.

0 = 16 + 4 (m − 6)

Q 4.1 | Page 89

Construct 3 equations starting with x = 2

Q 4.2 | Page 89

Construct 3 equations starting with x = -2

#### Pages 91 - 914

Q 1.1 | Page 91

Set up equations and solve them to find the unknown numbers in the following case

Add 4 to eight times a number; you get 60.

Q 1.2 | Page 91

Set up equations and solve them to find the unknown numbers in the following case

One-fifth of a number minus 4 gives 3.

Q 1.3 | Page 91

Set up equations and solve them to find the unknown numbers in the following case

If I take three-fourths of a number and add 3 to it, I get 21

Q 1.4 | Page 91

Set up equations and solve them to find the unknown numbers in the following case

When I subtracted 11 from twice a number, the result was 15.

Q 1.5 | Page 91

Set up equations and solve them to find the unknown numbers in the following case

Munna subtracts thrice the number of notebooks he has from 50, he finds the result to be 8.

Q 1.6 | Page 91

Set up equations and solve them to find the unknown numbers in the following case

Ibenhal thinks of a number. If she adds 19 to it and divides the sum by 5, she will get 8.

Q 1.7 | Page 91

Set up equations and solve them to find the unknown numbers in the following case

Anwar thinks of a number. If he takes away 7 from 5/2 of the number, the result is 23

Q 2.1 | Page 91

Solve the following:

The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. The highest score is 87. What is the lowest score?

Q 2.2 | Page 91

Solve the following:

n an isosceles triangle, the base angles are equal. The vertex angle is 40°. What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is 180°).

Q 2.3 | Page 91

Solve the following:

Sachin scored twice as many runs as Rahul. Together, their runs fell two short of a double century. How many runs did each one score?

Q 3.1 | Page 914

Solve the following:

Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has 37 marbles. How many marbles does Parmit have?

Q 3.2 | Page 91

Solve the following:

Laxmi’s father is 49 year old. He is 4 years older than three times Laxmi’s age. What is Laxmi’s age?

Q 3.3 | Page 91

Solve the following:

People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees was two more than three times the number of fruit trees. What was the number of fruit trees planted if the number of non-fruit trees planted was 77?

Q 4 | Page 92

Solve the following riddle:

I am a number,

Tell my identity!

Take me seven times over

To reach a triple century

You still need forty!

## NCERT solutions for Class 7 Mathematics chapter 5 - Lines and Angles

NCERT solutions for Class 7 Maths chapter 5 (Lines and Angles) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Mathematics for Class 7 solutions in a manner that help students grasp basic concepts better and faster.

Further, we at shaalaa.com are providing such solutions so that students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 7 Mathematics chapter 5 Lines and Angles are Checking for Parallel Lines, Pairs of Lines - Transversal of Parallel Lines, Pairs of Lines - Angles Made by a Transversal, Pairs of Lines - Transversal, Pairs of Lines - Intersecting Lines, Concept of Vertically Opposite Angles, Concept of Linear Pair, Adjacent Angles, Supplementary Angles, Complementary Angles, Introduction to Lines and Angles, Applications of Simple Equations to Practical Situations, From Solution to Equation, More Equations, Solving an Equation, Concep of Equation, Setting up of an Equation, Mind-reading Game.

Using NCERT Class 7 solutions Lines and Angles exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in NCERT Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 7 prefer NCERT Textbook Solutions to score more in exam.

Get the free view of chapter 5 Lines and Angles Class 7 extra questions for Maths and can use shaalaa.com to keep it handy for your exam preparation

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