Regular Polygon Interior Angle from Sides Reference Values

Calculate the interior angle of a regular polygon from the number of sides.

Author

Prof. Chen Wei

Math editorial contributor

Chinese AI ethics researcher at Tsinghua University, publishing extensively on algorithmic bias in hiring systems

Reviewed for accuracy by

Dr. Emeka Nwosu

Math content reviewer

Nigerian legal scholar with an SJD from Yale, focused on international trade law and African continental free trade agreements

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

Table of Contents

  1. All value pages
  2. Reference table
  3. FAQs
  4. Methodology and review
  5. Related conversions

Reference Value Index

This page lists 20 reference values for quick browsing and lookup.

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All Reference Values

Reference Table

Regular Polygon Interior Angle from Sides reference values
Number of SidesInterior Angle
3 Number of Sides60 deg
4 Number of Sides90 deg
5 Number of Sides108 deg
6 Number of Sides120 deg
7 Number of Sides128.571429 deg
8 Number of Sides135 deg
9 Number of Sides140 deg
10 Number of Sides144 deg
12 Number of Sides150 deg
15 Number of Sides156 deg
20 Number of Sides162 deg
24 Number of Sides165 deg
30 Number of Sides168 deg
40 Number of Sides171 deg
50 Number of Sides172.8 deg
60 Number of Sides174 deg
100 Number of Sides176.4 deg
180 Number of Sides178 deg
360 Number of Sides179 deg
720 Number of Sides179.5 deg

Frequently Asked Questions

Frequently asked questions for Regular Polygon Interior Angle from Sides and its reference values.

What does the Regular Polygon Interior Angle from Sides calculator do?

It helps with finding interior angles for regular polygon geometry and drafting.

What formula does the Regular Polygon Interior Angle from Sides calculator use?

Regular polygon interior angle = ((n - 2) × 180) / n.

What inputs are valid?

The number of sides must be an integer greater than or equal to 3.

When would I use this?

finding interior angles for regular polygon geometry and drafting

Methodology and Review

Each row on this page links to a value detail page derived from the same conversion data file as the main calculator and reference table. This reduces inconsistencies across page variants.

Editorial metadata and structured data are rendered across the converter page and linked value pages. Review policies are documented in our review process and editorial policy.