The sum of the interior angle measures
of an n-sided convex polygon is(n-2)180.
In our exercise we are asked to find the sum of the measures of the interior angles of the chess board. Since the chess board is a regular hexagon, we will substitute 6 for n in above formula to find this sum.
The sum of the measures of the interior angles of the chess board is 720.
b As the given hexagon is regular, all interior angles are congruent. This means that to find the measure of each of the interior angles, we need to divide the sum of all interior angles, 720, by the number of sides, which is 6.
720/6=120
Each interior angle of this regular hexagon measures 120.
