Topic Details

Level: Level 13: Advanced Geometry

Topic: Angles

Description:

Angles are formed when two lines or rays meet at a common point, called the vertex. Angles are measured in degrees (°), and they describe the amount of rotation between the two rays.

There are different types of angles based on their measurements:
- Acute Angle: Less than 90°
- Right Angle: Exactly 90°
- Obtuse Angle: Greater than 90° but less than 180°
- Straight Angle: Exactly 180°

Examples:

Example 1: Identifying an Angle
If two lines meet to form an angle that measures 45°, it is an acute angle because it is less than 90°.

Example 2: Adding Angles
Suppose you have two angles, one measuring 30° and the other measuring 60°. Adding them together:
30° + 60° = 90°.
The result is a right angle.

Angles are fundamental in geometry and are used in tasks like constructing shapes, measuring rotations, and solving real-world problems like designing buildings or bridges.

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