**Lines and Angles: CBSE Class 7 Maths Worksheet with Answers **

**Lines and Angles for Class 7**

This worksheet is for **class 7 maths** and it comprises the topic of lines and angles. It will help students to have a better understanding of geometry and its associated terms.

**After solving the worksheet, students will be able to answer the following questions –**

- What is geometry?
- What is a line?
- What is a line segment?
- What is the difference between a line and a line segment?
- What is an angle?
- What are the types of angles?
- What is the angle of a straight line?
- What are complementary angles?
- What are supplementary angles?

**What is geometry?**

It is the branch of mathematics that deals with the properties and relations of points, lines, surfaces etc.

**What is a line?**

A line is a long one-dimensional mark or a long path that goes till infinity.

**What is a line segment?**

A line segment is a long mark or a line that connects two specific points.

All line segments are lines but not all lines are line segments.

**What is the difference between a line and a line segment?**

A line is a long mark without any endpoints while a line segment is a long mark that has defined endpoints.

**What is an angle?**

An angle is a figure formed by two line segments or rays when they meet at a single point called the vertex. The 2 line segments are called the sides of the angle.

It is denoted by the degree sign that is º.

For example, 90º means ninety degrees.

**What are the types of angles?**

Angles are of three types:

- Acute angle
- Obtuse angle
- Right angle

**Acute angle**

An angle formed by two rays or line segments less than 90 degrees and more than 0 degrees is called an acute angle.

Examples – 45º, 50º, 10º, 89º, etc.

**Obtuse angle**

An angle formed by two rays or line segments more than 90 degrees but less than 180 degrees is called an obtuse angle.

Examples – 91º, 100º, 120º, etc.

**What is a right angle?**

A 90 degrees angle formed by two rays or line segments is called a right angle.

**What is the angle made by a straight line?**

The angle made by a straight line is 180 degrees as shown in the image above.

**What are complementary angles?**

When the sum of two angles is 90 degrees, then the two angles are said to be complementary to each other.

Example –

In the image above, if we add 60 degrees and 30 degrees, we will form an angle that is 90 degrees. Therefore, these angles are said to be complementary angles.

**What are supplementary angles?**

When the sum of two angles is 180 degrees, then the two angles are said to be supplementary to each other.

Example –

In the image above, if we add 130 degrees and 50 degrees, we will form an angle that is 180 degrees. Therefore, these angles are said to be complementary angles.

## Lines and angles worksheet class 7

**Exercise**

**I. Fill in the table with the corresponding angles** –

Sl no. | Angle | Complementary angle | Supplementary angle |

1 | 45º | ||

2 | 65º | ||

3 | 120º | ||

4 | 90º | ||

5 | 0º | ||

6 | 30º | ||

7 | 150º | ||

8 | 11º | ||

9 | 1º | ||

10 | 180º |

**II. Find the values of x and y in the following diagrams:**

a.

b.

c.

**Download Printable lines and angles worksheet for grade 7**

**ANSWER**

I.

Sl no. | Angle | Complementary angle | Supplementary angle |

1 | 45º | 45º | 135º |

2 | 65º | 25º | 115º |

3 | 120º | 60º | |

4 | 90º | 0º | 90º |

5 | 0º | 90º | 180º |

6 | 30º | 60º | 160º |

7 | 150º | 30º | |

8 | 11º | 79º | 169º |

9 | 1º | 89º | 179º |

10 | 180º | 0º |

II.

a. x=54º, y= 90º

b. x= 45º, y= 45º

c. x=60º

**Related grade 7 maths**

Addition and Subtraction of Fraction

Comparing quantities Maths Worksheet Class 7

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