What is the sum of the measures of the interior angles of a regular heptagon?

Solution:

Polygons are the closed shapes that are formed by multiple line segments. Let's solve a problem related to heptagon, a seven-sided polygon.

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.

Hence, The sum of the measures of the interior angles of a regular heptagon is 900 degrees.

What is the sum of the measures of the interior angles of a regular heptagon?

Summary:

The sum of the measures of the interior angles of a regular heptagon is 900 degrees.