Supplementary and Complementary Angles Worksheets for Kids
FAQs on Supplementary and Complementary Angles Worksheets for Kids
1. What are complementary angles?
Two angles are defined as complementary when their measures add up to exactly 90 degrees. For example, if one angle is 40°, its complement is 50° because 40° + 50° = 90°. When placed adjacent to each other, they form a right angle.
2. What are supplementary angles?
Two angles are considered supplementary if their measures add up to exactly 180 degrees. For instance, an angle of 130° and an angle of 50° are supplementary because their sum is 180°. When placed together on a line, they form a straight angle.
3. What is the main difference between complementary and supplementary angles?
The key difference lies in the total sum of the angles.
- Complementary angles add up to 90° (forming a right angle).
- Supplementary angles add up to 180° (forming a straight angle).
4. How do you find the complement or supplement of a known angle?
This involves simple subtraction, a core skill that worksheets on this topic help to develop.
- To find the complement, you subtract the given angle from 90°. (Example: The complement of 25° is 90° - 25° = 65°).
- To find the supplement, you subtract the given angle from 180°. (Example: The supplement of 110° is 180° - 110° = 70°).
5. Why are worksheets useful for learning about complementary and supplementary angles?
Worksheets provide structured practice that is essential for mastering this topic. They help students to:
- Perform repeated calculations to find missing angles, which builds speed and accuracy.
- Visually identify angle pairs in different geometric figures.
- Apply the rules of 90° and 180° in various problem types.
- Build a strong conceptual foundation for more advanced geometry topics as per the CBSE/NCERT curriculum.
6. Can two obtuse angles ever be supplementary? Explain why.
No, two obtuse angles can never be supplementary. By definition, an obtuse angle is greater than 90°. The sum of two angles that are each greater than 90° will always be more than 180°. For example, if we take the smallest possible whole-number obtuse angles, 91° and 91°, their sum is 182°, which is already greater than 180°.
7. Do supplementary angles always have to be next to each other?
No, this is a common misconception. Angles do not need to be adjacent (next to each other) to be supplementary. The only condition is that their measures must add up to 180°. For instance, a 60° angle in one triangle and a 120° angle in a separate circle are still a supplementary pair. When they are adjacent on a straight line, they are called a linear pair, which is a specific type of supplementary angle pair.
8. Where can kids see examples of these angles in the real world?
These geometric concepts are visible in everyday objects.
- Complementary Angle Examples: The corner of a TV screen, a square tile, or the intersection of a vertical and horizontal line in a window pane all form 90° angles.
- Supplementary Angle Examples: The two angles on either side of a straight road intersected by a railway track, or the blades of an open pair of scissors forming a straight line.











