Supplementary and Complementary Angles Definition Formula and Solved Examples
Supplementary angles refer to a pair of angles whose sum equals 180 degrees. Complementary angles refer to a pair of angles whose sum is 90 degrees. In the given image, the supplementary angles add up to 180 degrees, and the complementary angles add up to 90 degrees.
Complementary Angles
Supplementary Angles
Questions:
1. Write down the measure of the angle represented in the image:
Complementary Angles
2. Drake added the angles 34 and 56 degrees. What type of angles are they based on their sum?
3. What is the sum of a pair of complementary angles?
4. Match the following images with their appropriate values:
5. Donald wants to find the measure of the angle which is added with 114 degrees. The sum of both angles is supplementary. What is Drake’s result?
6. Write down the measures in column B to make them supplementary.
7. Sam wants to find the value of x in the image. What’s the result?
Complementary angles
8. What is the sum of a pair of supplementary angles?
9. Fill in the column with the appropriate sign based on the measure of the unknown angles:
10. Rachel measured two angles as 34 degrees and 12 degrees. Check whether the angles are complementary.
11. Write down whether the pair of angles are supplementary or not:
12. Which angle should be added with 90 degrees to make them supplementary?
13. Write down the measure of the angles represented in the images:
14. Which of the angles is supplementary?
a. 45, 56 degrees
b. 140, 40 degrees
c. 56, 78 degrees
d. 120, 50 degrees
15. Write down the measures in column B to make them complementary.
Answers:
1.
The measure of the angle represented in the image is,
90- 45= 45 degrees.
2.
Drake added the angles, 34+56=90 degrees. They are complementary angles.
3.
The sum of a pair of complementary angles is 90 degrees.
4.
5.
The angles are supplementary. The measure of the unknown angle is 180- 114= 66 degrees. Donald’s result is 66 degrees.
6.
7.
The measure of the unknown angle is 63+ x+ 20=90
x+83= 90
x= 90-83
x= 7 degrees
8.
The sum of a pair of supplementary angles is 180 degrees.
9.
10.
The sum of the angles measured by Rachel is 34+ 12= 46 degrees.
The sum is not equal to 90 degrees. Hence, the angles are complementary.
11.
12. The angle added with 90 degrees with the existing 90 degrees will make them supplementary.
13.
14.
a. The angles 140 and 40 are supplementary.
15.
Importance of Complementary and Supplementary Angles Worksheets
The students of KG-3 will be able to understand the topic very easily with the help of the worksheets in the best way. The worksheets have been designed by experts to make sure that students have all the materials for learning the concepts easily.
Students will gain a better understanding of the topic of angles with the help of these worksheets. They can use the questions to gain a better understanding and solve the questions properly.
With the help of the worksheets, the students of Class 3 will gain a proper understanding of the concept of angles. This will help them understand the concepts of geometry as well. Hence, they can get a better understanding of the chapter in the best way.
Solving questions of different kinds related to the topic of angles will enable students to understand how to solve the questions in exams as well. Thus, they will be able to prepare for their exams in the best way.
Benefits of Worksheets for Supplementary and Complementary Angles
The worksheets for complementary and supplementary angles have been designed by experts at Vedantu in order to make sure that students are able to learn the concept easily. Hence, they will be able to understand the chapter easily.
The worksheets contain important questions from the exam point of view. Thus students can learn a lot about the examination pattern and use the worksheets to prepare for their tests and examinations.
Every single worksheet contains solutions to all the questions. Hence, students can download and practise the solutions to clear any doubts that they might have about the chapter.
These worksheets will help children complete the chapter in a very short period of time. They can get proper insights about the chapter and hence complete their syllabus easily as well.
Get proper preparation and revision time with the worksheets. You can use the worksheets to score good marks in the examination.
Download Angles Worksheet for Class KG-3 for Free
If you want to learn about angles, download the Complementary Supplementary and Vertical Angles Worksheet right now from Vedantu. Download the resources and get easy explanations of the topics and learn the chapter.
FAQs on Supplementary and Complementary Angles Worksheets
1. What are supplementary and complementary angles?
Supplementary angles are two angles that add up to 180°, while complementary angles are two angles that add up to 90°
In geometry:
- Supplementary angles form a straight line when placed together.
- Complementary angles form a right angle when combined.
- They can be adjacent (next to each other) or non-adjacent.
2. What is the formula for supplementary angles?
The formula for supplementary angles is Angle 1 + Angle 2 = 180°.
If one angle is known, the other can be found using:
- Missing angle = 180° − given angle
- If one angle is 125°, the other angle = 180° − 125° = 55°.
3. What is the formula for complementary angles?
The formula for complementary angles is Angle 1 + Angle 2 = 90°.
To find a missing complementary angle:
- Missing angle = 90° − given angle
- If one angle is 38°, the other angle = 90° − 38° = 52°.
4. How do you find a missing supplementary angle?
To find a missing supplementary angle, subtract the given angle from 180°.
Follow these steps:
- Step 1: Write the equation: Angle 1 + Angle 2 = 180°.
- Step 2: Substitute the known value.
- Step 3: Subtract from 180°.
- If one angle is 92°, then the other angle = 180° − 92° = 88°.
5. How do you find a missing complementary angle?
To find a missing complementary angle, subtract the given angle from 90°.
Steps to solve:
- Step 1: Write the equation: Angle 1 + Angle 2 = 90°.
- Step 2: Insert the known angle.
- Step 3: Subtract from 90°.
- If one angle is 64°, then the other angle = 90° − 64° = 26°.
6. What is the difference between complementary and supplementary angles?
The main difference is that complementary angles add up to 90°, while supplementary angles add up to 180°.
Key differences:
- Complementary angles form a right angle.
- Supplementary angles form a straight angle.
- Complementary sum = 90°, Supplementary sum = 180°.
7. Can supplementary angles be equal?
Yes, supplementary angles can be equal if each angle measures 90°.
Explanation:
- If two supplementary angles are equal, divide 180° by 2.
- 180° ÷ 2 = 90°.
8. Can complementary angles be equal?
Yes, complementary angles can be equal if each angle measures 45°.
Explanation:
- If two complementary angles are equal, divide 90° by 2.
- 90° ÷ 2 = 45°.
9. Are supplementary angles always adjacent?
No, supplementary angles are not always adjacent; they only need to add up to 180°.
Important points:
- If they are next to each other and form a straight line, they are called a linear pair.
- They can also be separate angles in different parts of a diagram as long as their sum is 180°.
10. How are supplementary and complementary angles used in worksheets?
Supplementary and complementary angles worksheets help students practice finding missing angles using the sums 180° and 90°.
Typical worksheet problems include:
- Finding a missing angle using subtraction.
- Solving algebraic equations like x + 35 = 90.
- Identifying angle pairs in diagrams.
- Comparing linear pairs and right angles.
