#### Chapters

Chapter 2: Fractions and Decimals

Chapter 3: Data Handling

Chapter 4: Simple Equations

Chapter 5: Lines and Angles

Chapter 6: The Triangle and its Properties

Chapter 7: Congruence of Triangles

Chapter 8: Comparing Quantities

Chapter 9: Rational Numbers

Chapter 10: Practical Geometry

Chapter 11: Perimeter and Area

Chapter 12: Algebraic Expressions

Chapter 13: Exponents and Powers

Chapter 14: Symmetry

Chapter 15: Visualising Solid Shapes

#### NCERT Mathematics Class 7

## Chapter 5 : Lines and Angles

#### Pages 81 - 105

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 |

Find the complement of the following angles:

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 | - |

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 | - |

Find the complement of the following angles:

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 | - |

Find the complement of the following angles:

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 | - |

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 | - |

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 | - |

Complete the last column of the table.

S.No | Equation | Value | Say, whether the Equation is Satisfied. (Yes/ No) |

6 | 5x = 25 |
x = 0 | - |

Complete the last column of the table.

S.No | Equation | Value | Say, whether the Equation is Satisfied. (Yes/ No) |

7 | 5x = 25 |
x = -5 | - |

Complete the last column of the table.

S.No | Equation | Value | Say, whether the Equation is Satisfied. (Yes/ No) |

8 | 5x = 25 | x = -5 | - |

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 | - |

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

n + 5 = 19 (n = 1)

Find the supplement of the following angles:

Find the supplement of the following angles:

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

7n + 5 = 19 (n = − 2)

Find the supplement of the following angles:

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

7n + 5 = 19 (n = 2)

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

4p − 3 = 13 (p = 1)

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

4p − 3 = 13 (p = − 4)

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

4p − 3 = 13 (p = 0)

Identify the given pairs of angles are complementary or supplementary.

65°, 115°

Solve the following equations by trial and error method:

5p + 2 = 17

Identify the given pairs of angles are complementary or supplementary.

63°, 27°

Solve the following equations by trial and error method:

3m - 14 = 4

Identify the given pairs of angles are complementary or supplementary.

Identify the given pairs of angles are complementary or supplementary.

130°, 50°

Identify the given pairs of angles are complementary or supplementary.

45°, 45°

Identify the given pairs of angles are complementary or supplementary.

80°, 10°

Find the angle which is equal to its complement.

Write equations for the following statement

The sum of numbers x and 4 is 9.

Write equations for the following statement:

2 subtracted from y is 8

Write equations for the following statement:

Ten times *a* is 70.

Write equations for the following statements:

The number *b* divided by 5 gives 6.

Write equations for the following statements:

Three-fourth of *t* is 15.

Write equations for the following statements:

Seven times *m* plus 7 gets you 77.

Write equations for the following statements:

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

Write equations for the following statements:

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

Write equations for the following statements:

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

Find the angle which is equal to its supplement.

Write the given equations in statement forms:

p + 4 = 15

Write the given equations in statement forms:

m − 7 = 3

Write the given equations in statement forms:

2m = 7

Write the given equations in statement forms:

`m/5 = 3`

Write the given equations in statement forms:

`(3m)/5 = 6`

Write the given equations in statement forms:

3*p* + 4 = 25

Write the given equations in statement forms:

4p − 2 = 18

Write the given equations in statement forms:

`p/2 + 2= 8`

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.

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.)

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.)

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.)

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.)

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

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

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

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

In the adjoining figure:

(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?

Indicate which pairs of angles are Vertically opposite angles.

Indicate which pairs of angles are: Linear pairs.

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

Find the value of the angles *x*, *y*, and *z* in the following

Find the value of the angles *x*, *y*, and *z* in the following:

Fill in the blanks:

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

Fill in the blanks:

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

Fill in the blanks:

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

Fill in the blanks:

Two angles forming a linear pair are ______

Fill in the blanks:

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

Fill in the blanks:

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

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 _______.

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

1) Obtuse vertically opposite angles

2) Adjacent complementary angles

3) Equal supplementary angles

4) Unequal supplementary angles

5) Adjacent angles that do not form a linear pair

#### Pages 86 - 111

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

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

*x* + 1 = 0

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

*x* + 1 = 0

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

x - 1 = 5

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

*x* + 6 = 2

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

*y* − 4 = − 7

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

*y *− 4 = 4

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

*y* + 4 = 4

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

*y* + 4 = -4

In the adjoining figure, identify

(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

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

3l = 42

Solve the following equations:

2*q* + 6 = 0

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

`b/2 = 6`

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

`p/7 = 4`

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

4*x* = 25

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

8*y* = 36

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

`z/3 = 5/4`

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

`a/5 = 7/15`

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

20*t *= -10

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

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

3*n* − 2 = 46

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

5*m* + 7 = 17

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

`(20p)/3 =40`

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

`(3p)/10 = 6`

Solve the following equations:

2*q* − 6 = 0

Solve the following equations:

10*p* = 100

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

Solve the following equations:

2*q* + 6 = 12

Solve the following equations:

10*p* + 10 = 100

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

Solve the following equations:

`p/4 = 5`

Solve the following equations:

`(-p)/3 = 5`

Solve the following equations:

`(3p)/4 = 6`

Solve the following equations:

3*s* = − 9

Solve the following equations:

3*s* + 12 = 0

Solve the following equations:

3*s* = 0

Solve the following equations:

2*q* = 6

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

If ∠ABC = 70°, then find

(1) ∠DGC

(2) ∠DEF

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

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

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

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

#### Page 89

Solve the following equations.

`(2b)/3 - 5 = 3`

Solve the following equations.

`2y + 5/2 = 37/2`

Solve the following equations.

5*t* + 28 = 10

Solve the following equations.

`a/5 + 3 = 2`

Solve the following equations.

`q/4 + 7 = 5`

Solve the following equations.

`5/2 x = -10`

Solve the following equations.

`5/2 x = 25/4`

Solve the following equations.

`7m + 19/2 = 13`

Solve the following equations

6*z* + 10 = -2

Solve the following equations.

`(3l)/2 = 2/3`

Solve the following equations.

2 (*x* + 4) = 12

Solve the following equations.

3 (*n* − 5) = 21

Solve the following equations.

3 (*n* - 5) = -21

Solve the following equations.

-4 (2 + *x*) = 8

Solve the following equations.

4(2 - *x*) = 8

Solve the following equations.

4 = 5 (*p* - 2)

Solve the following equations.

-4 = 5 (*p* - 2)

Solve the following equations.

16 = 4 + 3 (*t* + 2)

Solve the following equations.

4 + 5 (p - 1) = 34

Solve the following equations.

0 = 16 + 4 (*m* − 6)

Construct 3 equations starting with *x* = 2

Construct 3 equations starting with *x* = -2

#### Pages 91 - 914

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.

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

One-fifth of a number minus 4 gives 3.

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

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.

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.

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.

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

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?

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°).

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?

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?

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?

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?

Solve the following riddle:

I am a number,

Tell my identity!

Take me seven times over

And add a fifty!

To reach a triple century

You still need forty!

#### NCERT Mathematics Class 7

#### Textbook solutions for Class 7

## 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