Math Problem Statement
Calculate the total of the interior angles of this heptagon.
Solution
To calculate the total of the interior angles of a heptagon (7-sided polygon), we use the given formula:
where is the total sum of the interior angles, and is the number of sides of the polygon. For a heptagon, .
Substitute into the formula:
Thus, the total sum of the interior angles of the heptagon is 900°.
Would you like more details or have any questions?
Here are 5 related questions for further practice:
- What is the sum of the interior angles of a hexagon (6-sided polygon)?
- How do you calculate the measure of one interior angle in a regular polygon?
- What is the total of the exterior angles of any polygon?
- What is the relationship between the number of sides of a polygon and its interior angles?
- How do the interior and exterior angles of a polygon add up at each vertex?
Tip: The sum of the exterior angles of any polygon is always 360°, regardless of the number of sides!
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Math Problem Analysis
Mathematical Concepts
Geometry
Polygons
Interior Angles
Formulas
T = 180° × (n - 2)
Theorems
Sum of Interior Angles Theorem
Suitable Grade Level
Grades 6-8