what is the measure of an interior angle of a regular heptagon ? round to the nearest hundredth.

The formula for finding the measure of an interior angle of a regular polygon with \( n \) sides is:

\[
\text{Interior angle} = \frac{(n - 2) \times 180^\circ}{n}
\]

For a heptagon (\( n = 7 \)):

\[
\text{Interior angle} = \frac{(7 - 2) \times 180^\circ}{7}
\]
\[
= \frac{5 \times 180^\circ}{7}
\]
\[
= \frac{900^\circ}{7}
\]
\[
\approx 128.57^\circ
\]

So, the measure of an interior angle of a regular heptagon is approximately **128.57°**.

Would you like additional details on this or have any questions?

Here are 5 related questions:
1. What is the sum of the interior angles of a heptagon?
2. How do you find the exterior angle of a regular heptagon?
3. How would this process differ for an octagon?
4. What if the polygon had 10 sides—what would be each interior angle?
5. How does the interior angle change as the number of sides increases?

**Tip:** For regular polygons, as the number of sides increases, each interior angle gets closer to \(180^\circ\).

What is the measure of an interior angle of a regular heptagon? Round to the nearest hundredth.

Discover how to calculate the measure of an interior angle in a regular heptagon. This solution walks you through the formula and provides the answer rounded to the nearest hundredth, perfect for geometry students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation