Interior Angles of Polygons
by Anonymous
Split polygons into triangles to see why the interior angles add up to 180°×(n−2), then work out one angle of a regular polygon.
About this app
An interactive math learning app that helps students understand the sum of a polygon’s interior angles by dividing polygons into triangles. Change the number of sides to see the resulting triangle count and calculate 180° × (n−2), then find one interior angle in regular polygons. A challenge section lets learners adjust a numerical answer and check sums for triangles, pentagons, hexagons, and octagons.
Use cases
- Elementary students learning polygon angle sums
- Teachers demonstrating the triangle-decomposition formula
- Learners practicing regular-polygon interior angles
- Families reviewing geometry through interactive challenges
Features
- Adjustable polygon side count with visual triangle divisions
- Displays the formula 180° × (n−2) and calculated angle sums
- Calculates one angle of a regular polygon
- Mission-based activities with reset and next controls
- Challenge mode with ±10° and ±180° answer controls and checking