Answer:
The radius of a hexagon is called the apothem, which in this case is 15.
We need to know the side length which is found by the equation:
side length = apothem * 2 * (tan (180 / #sides))
side length = apothem * 2 * (tan (180 / 6))
side length = 15 * 2 * (tan (30 degrees))
side length = 30 * .57735
side length = 17.3205
We need the perimeter of the hexagon which equals the side length times six.
perimeter = 6 * 17.3205 = 103.923
Source: https://www.1728.org/polygon.htm
Step-by-step explanation:
I think the answer is 78.
We will translate the given statement in the problem into
x + y = 90
x - y = 90 - 86 = 4 where x and y are the angles that are complementary. solving simultaneously, x = 47 degreesy = 43 degrees.
