Question

The sum of the interior angles of a hexagon is equal to the sum of six consecutive integers. What is the measure of the smallest angle of the hexagon?​

Answer 1

The sum of the interior angles of a hexagon is equal to sum of six consecutive numbers. Hence let the smallest consecutive number be x. Then other five numbers are x+1, x+2, x+3,x+4 and x+5. Hence the measure of the smallest angle is 117.5 cm.