Podcast
Questions and Answers
What is the sum of the interior angles of a quadrilateral?
What is the sum of the interior angles of a quadrilateral?
How do you calculate the measure of each interior angle in a regular pentagon?
How do you calculate the measure of each interior angle in a regular pentagon?
What is the measure of each exterior angle in a regular hexagon?
What is the measure of each exterior angle in a regular hexagon?
What is true about the sum of the exterior angles of any polygon?
What is true about the sum of the exterior angles of any polygon?
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If a regular octagon is formed, what will be the measure of each exterior angle?
If a regular octagon is formed, what will be the measure of each exterior angle?
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What is the formula to find the sum of the interior angles of a polygon?
What is the formula to find the sum of the interior angles of a polygon?
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For a triangle, what is the sum of its interior angles?
For a triangle, what is the sum of its interior angles?
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Which polygon has an individual interior angle of 120° when it is regular?
Which polygon has an individual interior angle of 120° when it is regular?
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Study Notes
Polygon Angles
- Polygons: Two-dimensional shapes with straight sides. Examples include triangles, quadrilaterals, pentagons, etc.
- Interior Angles: Angles inside the polygon.
- Exterior Angles: Angles formed by one side and the extension of an adjacent side.
Sum of Interior Angles
- Formula: (n - 2) × 180°, where 'n' is the number of sides.
- Triangle (3 sides): 180°
- Quadrilateral (4 sides): 360°
- Pentagon (5 sides): 540°
- Hexagon (6 sides): 720° (Example)
Finding Individual Interior Angles (Regular Polygons)
- For regular polygons (all sides and angles equal): Divide the sum of interior angles by the number of sides.
- Example: Regular hexagon (6 sides): Each interior angle = 720°/6 = 120°
Sum of Exterior Angles
- Always 360° for any polygon, regardless of the number of sides.
Finding Individual Exterior Angles (Regular Polygons)
- Formula: 360°/n, where 'n' is the number of sides.
- Example: Regular octagon (8 sides): Each exterior angle = 360°/8 = 45°
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Description
Test your knowledge on polygon angles with this quiz! It covers the concepts of interior and exterior angles, including how to calculate their sums and find individual angles in regular polygons. Ideal for students learning about geometry.
