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Polygons: interior/exterior angle sums and regular polygons — Homework
Apply the interior angle sum formula and the interior/exterior angle formulas for regular polygons, in both directions.
- 1.Find the sum of the interior angles of a dodecagon (12 sides).
- 2.Find the measure of each interior angle of a regular octagon (8 sides).
- 3.Find the measure of each exterior angle of a regular pentagon (5 sides).
- 4.A regular polygon has an interior angle of 150 degrees. Find its exterior angle, then find the number of sides.
- 5.Explain why the formula for the sum of a polygon's interior angles, (n-2)*180, works, using the idea of splitting the polygon into triangles.
🌲 Homeschool of the FutureTenth Grade · Math · week 30 homework