What is the sum of the measures of the interior angles of a regular heptagon?
Polygons are the closed shapes that are formed by multiple line segments. Let's solve a problem related to heptagon, a seven-sided polygon.
Answer: The sum of the measures of the interior angles of a regular heptagon is 900 degrees.
Let's understand the solution in detail.
We know that sum of interior angles of an n-sided polygon is given by the formula: (n - 2) × 180 degrees.
For a heptagon, the number of sides is seven; hence n = 7.
Therefore, using the above formula
(7 - 2) × 180 degrees = 900 degrees.