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SS1 · Geometry · MAT/GEO — SS1.01

Angles in a Polygon

Exploration of the sum of interior and exterior angles of polygons and their geometric properties.

What students will learn

  • Define a polygon and distinguish between regular and irregular polygons.
  • State the formula for the sum of interior angles of an n-sided polygon.
  • Calculate the sum of interior angles for given polygons.
  • Explain the relationship between interior and exterior angles.
  • Solve problems involving the exterior angles of polygons using the 360° sum property.

Sample quiz questions

  1. What is the sum of the interior angles of a triangle?

    • A. 90°
    • B. 180°
    • C. 270°
    • D. 360°
  2. The sum of the interior angles of a quadrilateral is:

    • A. 180°
    • B. 360°
    • C. 540°
    • D. 720°

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