Miter Angle Calculator Reference Values

Calculate miter saw settings for regular polygon frames from the number of equal sides.

Author

Dr. Jean-Pierre Dupont

Woodworking editorial contributor

French cognitive psychologist at ENS Paris, investigating decision-making under uncertainty in financial markets

Reviewed for accuracy by

Prof. Kenji Tanaka

Woodworking content reviewer

Japanese materials scientist at Kyoto University, known for breakthroughs in sustainable polymer research

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

On this page

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

Reference Value Index

This page lists 22 reference values for quick browsing and lookup.

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All Reference Values

Reference Table

Miter Angle Calculator reference values
Frame TypeMiter AngleInterior AngleExterior Angle
3-sided frame60° miter60°120°
4-sided frame45° miter90°90°
5-sided frame36° miter108°72°
6-sided frame30° miter120°60°
7-sided frame25.7143° miter128.5714°51.4286°
8-sided frame22.5° miter135°45°
9-sided frame20° miter140°40°
10-sided frame18° miter144°36°
11-sided frame16.3636° miter147.2727°32.7273°
12-sided frame15° miter150°30°
13-sided frame13.8462° miter152.3077°27.6923°
14-sided frame12.8571° miter154.2857°25.7143°
15-sided frame12° miter156°24°
16-sided frame11.25° miter157.5°22.5°
17-sided frame10.5882° miter158.8235°21.1765°
18-sided frame10° miter160°20°
19-sided frame9.4737° miter161.0526°18.9474°
20-sided frame9° miter162°18°
21-sided frame8.5714° miter162.8571°17.1429°
22-sided frame8.1818° miter163.6364°16.3636°
23-sided frame7.8261° miter164.3478°15.6522°
24-sided frame7.5° miter165°15°

Frequently Asked Questions

Frequently asked questions for Miter Angle Calculator and its reference values.

How is miter angle calculated for a regular frame?

For an N-sided regular frame, miter angle = 180° / N, which is half of each exterior angle.

What is the difference between interior and miter angles?

Interior angle is the angle inside each corner; miter angle is the saw cut angle on each adjoining board end.

Can I use this for non-regular shapes?

No. This formula assumes all sides and corner angles are equal, as in regular polygons.

Why does a square use 45° miter cuts?

A square has four sides, so 180° ÷ 4 = 45° miter angle per piece end.

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.