Demystifying - Interior angles of a polygon

Drills

Splitting an n-sided polygon into n − 2 triangles to find its angle sum, the quadrilateral’s 360° included.

Author note — to cover

Angle sum (n minus 2) times 180 derived by splitting into triangles, the quadrilateral's 360 included; find missing angles in irregular polygons and recover the number of sides from a given angle sum. Regular-polygon formulas and exterior angles each have their own sibling page. Both tiers. (G3)

  • Fluency — direct questions on interior angles of a polygon, limited to this lesson's stated scope (4 questions).
  • Application — use the same skill in unfamiliar or contextual questions without introducing a later method (4 questions).
  • Check — questions built around the exclusions and likely misconceptions named in the lesson brief (4 questions).

The test

—coming soon—

Where to go next

The method this drill practises is taught on Interior angles of a polygon.