Question

The measure angles of a hexagon are 4x,5x,6x,7x,8x,and9x calculate the size of the smallest angle

Answer 1

Explanation:

Sum of interior angles of polygon = (n -2) * 180

Sum of interior angles of hexagon = (6-2)*180 = 4* 180 = 720

4x + 5x +6x +7x + 8x +9x = 180

39x = 180

x = 180/39

x=4.61

Smallest angle = 4x = 4*4.61 = 18.44