What is the sum of the measures of the interior angles of a heptagon?
Answer: The sum of the measures of the interior angles of a heptagon is 900 degrees.
Interior Angles of Polygons
The sum of the interior angles of a polygon with n sides is given by the formula (n – 2) * 180 degrees. For a heptagon, which has 7 sides, this becomes (7 – 2) * 180 = 900 degrees. Understanding the properties of polygon interior angles is crucial in geometry for solving problems related to polygons, calculating measures, and understanding geometric principles.
FAQ on Interior Angles of Polygons
What is the sum of the interior angles of a pentagon?
The sum of the interior angles of a pentagon is 540 degrees.
What is the sum of the interior angles of an octagon?
The sum of the interior angles of an octagon is 1080 degrees.
How do you calculate the measure of one interior angle of a regular polygon?
Divide the sum of the interior angles by the number of sides.
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