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Questions and Answers
What is the sum of the interior angles of a hexagon?
What is the sum of the interior angles of a hexagon?
- 720 degrees (correct)
- 360 degrees
- 900 degrees
- 540 degrees
When two angles are supplementary, what is their relationship?
When two angles are supplementary, what is their relationship?
- They add up to 180 degrees. (correct)
- They are adjacent angles.
- They add up to 90 degrees.
- They are equal in measure.
How do you identify the exterior angle of a polygon?
How do you identify the exterior angle of a polygon?
- It is the same as the corresponding interior angle.
- It is calculated by adding two interior angles.
- It is the angle formed between a side and the extension of an adjacent side. (correct)
- It is always equal to 90 degrees.
Which tool is most commonly used to measure angles precisely?
Which tool is most commonly used to measure angles precisely?
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What is the relationship between complementary angles?
What is the relationship between complementary angles?
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Study Notes
Hexagon Interior Angles
- The sum of the interior angles of a hexagon is 720 degrees.
- This is derived from the formula (n - 2) × 180 degrees, where n is the number of sides (for a hexagon, n = 6).
Supplementary Angles
- Two angles are supplementary when their measures add up to 180 degrees.
- They can be adjacent or non-adjacent, but their total must equal 180 degrees.
Exterior Angle Identification
- The exterior angle of a polygon can be found by extending one side of the polygon and measuring the angle formed outside the polygon.
- The sum of the exterior angles of any polygon, no matter how many sides, is always 360 degrees.
Angle Measurement Tool
- The most commonly used tool for precise angle measurement is a protractor.
- Protractors often come marked in degrees and can measure angles from 0 to 180 degrees or 360 degrees.
Complementary Angles
- Complementary angles are two angles that add up to 90 degrees.
- Like supplementary angles, they can be adjacent or independent of each other.
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