If the exterior angles or a convex octagon are x+15,3x-1,2x+10,2x+15,2x-20,3x-4,3x-11 and 6x.?

2018-07-09 2:21 pm
How would you calculate for the largest of the eight angles?
更新1:

"x+15,3x-1,2x+10,2x+15,2x-20,3x-4,3x-11 and 6x"

回答 (1)

2018-07-09 2:37 pm
✔ 最佳答案
Sum of exterior angles of a convex polygon = 360°
(x + 15) + (3x - 1) + (2x + 10) + (2x + 15) + (2x - 20) + (3x - 4) + (3x - 11) + 6x = 360
x + 15 + 3x - 1 + 2x + 10 + 2x + 15 + 2x - 20 + 3x - 4 + 3x - 11 + 6x = 360
22x + 4 = 360
22x = 356
x = 178/11

The largest of the angles = 6x° = 6 * (178/11)° = (1068/11)° = (97 1/11)°


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