Question

determine the sum A+ B + C + D + E +F of the angles in the six sided shape (hexagon) in figure 10.35 without measuring. Explain your reasoning.

Answer 1

The sum of angle in a polygon is given by

(n-2)180°

where n is the number of the side of the polygon

Since we are dealing with a six-sided polygon, n=6

substituting into the formula

(6-2)180°

4 x 180°

= 720°

Hence the sum A+ B + C + D + E +F of the angles in the six sided shape is 720°