
Use a single line to break the quadrilateral into 2 triangles.
Hence calculate the sum of the total interior angles of a quadrilateral.

Use two lines to break the pentagon into 3 triangles.
Hence calculate the sum of the total interior angles of a pentagon.

Use three lines to break the hexagon into 4 triangles.
Hence calculate the sum of the total interior angles of a hexagon.

Use four lines to break the heptagon into 5 triangles.
Hence calculate the sum of the total interior angles of a heptagon.

Use five lines to break the octagon into 6 triangles.
Hence calculate the sum of the total interior angles of an octagon.

Use six lines to break the nonagon into 7 triangles.
Hence calculate the sum of the total interior angles of a nonagon.

Use seven lines to break the decagon into 8 triangles.
Hence calculate the sum of the total interior angles of a decagon.
Complete the table below using the information you gathered so far.
What connection can you see between the number of triangles, the number of sides of a polygon and the total interior angle? Can you write the relationship as an equation?