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What is a 180 Degree Angle?

Visual representation of 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.

Facts About 180 Degree Angles

180 degree angle in a circle

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

180° = 2 × 90°
180° = 360° ÷ 2
∠A + ∠B = 180° (Supplementary)

Types of Angles

Angle Type Degree Range Examples
Acute0° to 89°30°, 45°, 60°
Right90°Corner of a book
Obtuse91° to 179°100°, 135°
Straight180°Straight line
Reflex181° to 359°200°, 270°, 300°
Full Rotation360°Complete circle

Real-World Examples

Examples of 180° angles in everyday objects

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.

Angle Practice Quiz

Test your angle knowledge with this 5-question quiz. Choose the correct answer for each question.

1. What is another name for a 180 degree angle?
2. How many right angles make up a 180° angle?
3. What is the sum of angles in any triangle?
4. What time on a clock shows a 180° angle?
5. Two angles that add up to 180° are called:

Frequently Asked Questions

Here are answers to common questions about 180 degree angles:

Geometry Trivia

Discover interesting facts about angles and geometry:

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