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Internal and External Angles: The Shapes' Secret Corners!

Discover the hidden angles inside and outside shapes, like secret doorways and turning points!

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Internal and external angles

Internal and external angles

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Key Facts

Angle Location
Internal angles are inside a shape's corners. External angles are formed by extending a side and the next side.
Convex Shape Rule
A shape is convex if all its internal angles are less than a straight line (180 degrees).
Angle Count
A simple polygon has one internal angle at each vertex (corner).
Fun Fact
The sum of the external angles of any simple polygon is always 360 degrees, like a full circle!

Meet the Shape's Secret Corners!

Imagine a yummy slice of pizza or a cool building. Shapes have special corners called angles! The angles on the inside are like the cozy spots where the sides meet. We call these 'internal angles'. Every corner of a simple shape, like a square or a triangle, has one. They help us know how pointy or wide a corner is. Think of them as the shape's own secret language!

Turning Corners: The Outside Story!

Now, what happens when you walk around the edge of a shape? Sometimes you have to turn a corner. That turn is like an 'external angle'! It's like an angle that happens when you extend one side of the shape and see where the next side would go. It's the angle you make when you're changing direction. These angles help us understand how much a shape 'turns' as you trace its path.

Why These Angles Are Super Cool!

These angles might seem small, but they're super important! They tell us if a shape is pointy or wide. If all the inside angles are smaller than a straight line (like the edge of a ruler), the shape is called 'convex'. It means it doesn't have any inward-pointing corners. Knowing about internal and external angles helps us build things, draw maps, and even understand how things move!

Shapes Around You!

Look around! A stop sign has internal angles that make it a perfect octagon. When you walk around the stop sign, the turns you make are like external angles. Even a simple door frame has internal angles where the wood meets. The way the door swings open and then closes involves turning, which relates to external angles. Shapes are everywhere, and so are their angles!

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Based on content from Wikipedia Β· Licensed under CC BY-SA 4.0