180 Degree Angle - Definition, Examples, Quiz, FAQ, Trivia
Learn about straight angles and their properties in geometry
What is a 180 Degree Angle?

A 180 degree angle is a special type of angle in geometry known as a straight angle. It's called a straight angle because it forms a perfectly straight line.
Imagine a line drawn on paper. If you place a point anywhere on that line and draw two rays going in opposite directions, the angle between those rays is exactly 180 degrees. This is because the rays form a straight line.
In everyday life, straight angles are everywhere! The edge of your desk, the horizon line where the sky meets the ocean, and the hands of a clock at 6:00 all form 180 degree angles.
Key Concept
A 180 degree angle is a straight line. Two right angles (90° each) placed together make a straight angle (90° + 90° = 180°).
Facts About 180 Degree Angles

Here are some important facts about 180 degree angles:
- Straight Angle: A 180° angle is called a straight angle because it forms a straight line.
- Two Right Angles: 180° is equal to two 90° angles (90° × 2 = 180°).
- Supplementary Angles: Two angles that add up to 180° are called supplementary angles.
- Linear Pair: When two angles share a common arm and their non-common arms form a straight line, they form a linear pair which always adds up to 180°.
- Radians: In radians (another way to measure angles), 180° equals π radians.
- Triangle Sum: The sum of all three angles in any triangle is always 180°.
Angle Relationships
Types of Angles
Angle Type | Degree Range | Examples |
---|---|---|
Acute | 0° to 89° | 30°, 45°, 60° |
Right | 90° | Corner of a book |
Obtuse | 91° to 179° | 100°, 135° |
Straight | 180° | Straight line |
Reflex | 181° to 359° | 200°, 270°, 300° |
Full Rotation | 360° | Complete circle |
Real-World Examples

Let's explore where we can find 180 degree angles in the world around us:
Example 1: Clock Hands
At 6:00, the minute hand is at the 12 and the hour hand is at the 6. The angle between them is 180 degrees.
Example 2: Straight Roads
When you look down a straight road, the edges of the road form a 180 degree angle at the horizon.
Example 3: Scissors
When you open scissors completely, the handles and blades form a straight line, creating a 180 degree angle.
Example 4: Book Pages
When you open a book flat on a table, the two pages form a 180 degree angle with the spine.
Example 5: Seesaw
When a seesaw is perfectly balanced and level, it forms a 180 degree angle with the ground.
Try This
Hold your arms straight out to your sides. The angle formed by your arms is 180 degrees!
Angle Practice Quiz
Test your angle knowledge with this 5-question quiz. Choose the correct answer for each question.
Frequently Asked Questions
Here are answers to common questions about 180 degree angles:
Geometry Trivia
Discover interesting facts about angles and geometry:
Ancient Angle Measurement
The concept of 180 degrees comes from ancient Babylonian mathematics. They divided a circle into 360 parts, making half a circle 180 degrees - a measurement we still use today!
Nature's Angles
Honeybees build honeycombs with precise 120° angles, creating perfect hexagons. This shape uses the least amount of wax while storing the most honey possible.
Angles in Architecture
Ancient Egyptian pyramids were built with precisely calculated angles. The Great Pyramid of Giza has base angles of approximately 51.8 degrees, which are complementary to the 38.2 degree slope angles.
Straightest Road
Highway 10 in Saudi Arabia is one of the straightest roads in the world, stretching 256 km (159 miles) in an almost perfectly straight line, maintaining a 180 degree angle throughout its length.