Polygon — Geometry, what it means and where it is taught

A closed figure made of straight segments that meet only at endpoints.

Taught in Geometry.

Where it is taught

What it rests on

Work through these first if this one does not settle.

Practise this idea

3 questions in the course bank use Polygon, in Angle Relationships, Quadrilaterals & Polygon Properties.

Problem 1

Find the sum of the interior angles of a hexagon.

Worked answer

720

n = 6, so 6 - 2 = 4 triangles

4 × 180 = 720

720°

Problem 2

Find the sum of the exterior angles of any convex polygon.

Worked answer

360

You turn through one full circle.

360°, whatever n is.

Problem 3

A polygon has interior angles summing to 1260°. How many sides does it have?

Worked answer

9

n - 2 = 7

n = 9

Elsewhere

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