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?
- 360° (correct)
- 270°
- 540°
- 720°
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?
- 72°
- 144°
- 120°
- 108° (correct)
What is the measure of each exterior angle in a regular hexagon?
What is the measure of each exterior angle in a regular hexagon?
- 180°
- 30°
- 60° (correct)
- 120°
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?
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?
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?
For a triangle, what is the sum of its interior angles?
For a triangle, what is the sum of its interior angles?
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?
Flashcards
Sum of Interior Angles
Sum of Interior Angles
The total degree measure of all interior angles within a polygon.
Polygon
Polygon
A 2-dimensional shape made of straight lines.
Interior Angle
Interior Angle
An angle formed inside a polygon.
Exterior Angle
Exterior Angle
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Regular Polygon
Regular Polygon
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Formula for interior angle sum
Formula for interior angle sum
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Sum of Exterior Angles
Sum of Exterior Angles
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Calculating Individual Interior Angle (Regular)
Calculating Individual Interior Angle (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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