The image you've uploaded shows different types of angles with their corresponding degree measures and visual representations. Let's go through each one and explain what they are:
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1. Obtuse Angle – 120°
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Definition: An angle that is greater than 90° but less than 180°.
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Example: 120° is an obtuse angle because it falls between 90° and 180°.
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Visual: The green shaded region shows a wide angle, larger than a right angle but not a straight line.
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2. Right Angle – 90°
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Definition: An angle exactly equal to 90°.
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Example: This is the standard corner of a square or rectangle.
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Visual: The blue shaded region forms a perfect "L" shape, indicating perpendicular lines.
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3. Acute Angle – 60°
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Definition: An angle that is less than 90°.
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Example: 60° is acute because it’s smaller than a right angle.
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Visual: The purple shaded region is narrow, forming a sharp point.
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4. Straight Angle – 180°
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Definition: An angle that forms a straight line.
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Example: A straight line is considered a 180° angle.
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Visual: The yellow semicircle lies along a straight line, showing a flat angle.
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5. Reflex Angle – 270°
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Definition: An angle that is greater than 180° but less than 360°.
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Example: 270° is a reflex angle because it's more than half a circle but less than a full rotation.
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Visual: The orange shaded area covers three-quarters of a circle, going past the straight line.
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6. Full Rotation – 360°
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Definition: A complete circle or full turn around a point.
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Example: Rotating all the way around back to the starting position.
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Visual: The red circle represents a full circle, covering all 360 degrees.
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Summary Table:
| Angle Type | Degree Measure | Description |
|------------------|----------------|-------------|
| Acute | < 90° | Less than a right angle |
| Right | = 90° | Perfect corner |
| Obtuse | > 90° and < 180° | Greater than right, less than straight |
| Straight | = 180° | Forms a straight line |
| Reflex | > 180° and < 360° | More than straight, less than full circle |
| Full Rotation | = 360° | Complete circle |
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Final Answer:
The image correctly illustrates the six main types of angles based on their degree measures:
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Acute: 60°
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Right: 90°
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Obtuse: 120°
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Straight: 180°
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Reflex: 270°
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Full rotation: 360°
Each example matches its classification perfectly.
✔ All classifications in the image are accurate.
Parent Tip: Review the logic above to help your child master the concept of angles in math.