Ответ:
1)
Сумма углов многоугольника S = 180(n-2), где n - количество сторон многоугольника
1800° = 180(n-2)
n = 12
2)
1440 = 180(n-2)
n = 10
3)
S = 180*(6-2) =720
∠a = S/n = 720/6 = 120°
4)
S = 180(9-2) = 1260
∠a = 1260/9 = 140°
5)
S = 180(6-2)= 720°
2x+3x+4x+5x+10x+12x = 720
x = 20°
∠a = 2x = 2*20 = 40°
6)
S = 180(5-2)= 540°
3x+4x+10x+17x+20x = 540
x = 10°
∠a = 3*10° = 30°
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Answers & Comments
Ответ:
1)
Сумма углов многоугольника S = 180(n-2), где n - количество сторон многоугольника
1800° = 180(n-2)
n = 12
2)
1440 = 180(n-2)
n = 10
3)
S = 180*(6-2) =720
∠a = S/n = 720/6 = 120°
4)
S = 180(9-2) = 1260
∠a = 1260/9 = 140°
5)
S = 180(6-2)= 720°
2x+3x+4x+5x+10x+12x = 720
x = 20°
∠a = 2x = 2*20 = 40°
6)
S = 180(5-2)= 540°
3x+4x+10x+17x+20x = 540
x = 10°
∠a = 3*10° = 30°