1. Сумма углов многоугольника = 180°(n-2)
a) N = 4 => S = 180°(4-2) = 180°×2 = 360°
b) S = 180° => N = S/180 + 2 = 3
c) N = 6 => S = 180°(6-2) = 180°×4 = 720°
d) S = 900° => N = 900/180 + 2 = 7
e) N = 5 => S = 180°(5-2) = 180°×3 = 540°
f) S = 1260° => N = 1260/180 + 2 = 9
2. a) α = 180-42-36 = 102°
б) β = 180-126-23 = 31°
в) α = 540-91-90-100-149 = 110°
г) β = 540-90-123-96-117 = 114°
д) α = 360/8 = 45°
е) β = 360/10 = 36°
1. Сумма углов многоугольника = 180°(n-2)
a) N = 4 => S = 180°(4-2) = 180°×2 = 360°
b) S = 180° => N = S/180 + 2 = 3
c) N = 6 => S = 180°(6-2) = 180°×4 = 720°
d) S = 900° => N = 900/180 + 2 = 7
e) N = 5 => S = 180°(5-2) = 180°×3 = 540°
f) S = 1260° => N = 1260/180 + 2 = 9
2. a) α = 180-42-36 = 102°
б) β = 180-126-23 = 31°
в) α = 540-91-90-100-149 = 110°
г) β = 540-90-123-96-117 = 114°
д) α = 360/8 = 45°
е) β = 360/10 = 36°