Table of contents | |
Introduction | |
What is an Angle? | |
Measuring Angles | |
Types of Angles | |
Angles in 2-D Shapes | |
Solved Examples: Angles |
An angle measure in geometry is the measurement of the angle created when two lines meet at one common point.
Angles are classified into three categories:
1. Triangle
2. Quadrilateral
3. Pentagon
4. Hexagon
On a clock, we may see various angles based on their amplitude: acute, straight, obtuse, flat angles, and even complete angles.
a) Are the angles marked in yellow equal and why?
b) Are the angles marked in green equal and why?
c) Are the angles marked in blue equal and why?
Answer:
a) Yes, the angles marked in yellow are equal.
Solution:
As both the yellow angles are of a Regular Pentagon (a shape having 5 sides), all angles will be equal to 108 degrees. Hence, the angles are equal.b) Yes, the angles marked in green are equal.
Solution:
As both the green angles are of a Regular Pentagon (a shape having 5 sides), all angles will be equal to 108 degrees. Hence, the angles are equal.c) Yes, the angles marked in blue are equal.
Solution:
As both the blue angles are of a Regular Octagon (a shape having 8 sides), all angles will be equal to 135 degrees. Hence, the angles are equal.
Example 2: What kind of angles are made by the hands of the clock given below?
Solution:
Solution:
- In figure (a), the angle made by the arm is Acute Angle.
- In figure (b), the angle shown is Obtuse Angle.
- In figure (c), the angle shown is Right Angle.
Solution:
- In fig (a), we can make 4 angles.
- In fig (b), we can make 5 angles.
- In fig (c), we can make 6 angles.
32 videos|57 docs|45 tests
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1. What is an angle and how is it formed? |
2. How do you measure angles accurately? |
3. What are the different types of angles? |
4. How do angles relate to 2-D shapes? |
5. Can you provide a simple example of calculating angles in a triangle? |
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