Test
Angles
An angle is a geometric figure formed by two rays or straight lines that share a common endpoint, called the vertex, but extend in different directions. Angles are typically measured in degrees (°), but they can also be expressed in other units such as radians or gradians. Angles can vary in size and shape depending on the degree of their opening and other geometric properties. For example, a right angle has an opening of 90 degrees, while a straight angle has an opening of 180 degrees. Angles are a fundamental concept used in mathematics and various other fields where geometry is applied.
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Sample questions
- How many angles does the shape have?
- Mark the type of angle shown?
- Two angles of a triangle are ___° and ___°. What is the third angle?
- Two adjacent angles add up to 180°. One angle is ___°. What is the other angle?
- A door opens at an angle of ___°. What angle remains to make a straight 180° angle?
Angles and angle measurement
An angle is formed by two rays with a common endpoint called the vertex. Angles are measured in degrees. An acute angle is less than 90°, a right angle equals 90°, an obtuse angle lies between 90° and 180°, and a straight angle equals 180°.
Useful relationships
- Angles on a straight line total 180°.
- Angles around a point total 360°.
- Parts of a right angle total 90°.
Find an unknown angle by subtracting the known angles from the relevant total. A diagram may not be drawn to scale, so use the stated values and angle properties rather than visual appearance alone.
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