Answer:
17
Step-by-step explanation:
The sum of a polygon's angles is 180° (n − 2), where n is the number of sides. A hexagon has 6 sides, so the sum of the angles is:
180° (6 − 2) = 720°
Therefore:
720 = 8x − 1 + 5x + 36 + 116 + 7x + 19 + 6x − 2 + 110
720 = 26x + 278
26x = 442
x = 17
............................
If you are mowing a section of a lawn but want to make sure you only mow so much. Say half of a square lawn, if you know that the 2 sides of the fence are each 20 yards in length, you can apply the formula to find the distance of the diagonal. That way you know exactly how much you have mowed. draw a square, cut a diagonal through it, make the 2 sides labaled as 20 and then its 20 squared plus 20 squared = c squared. Hope this helps!
