Answer:
Step-by-step explanation:
Let radius = r and side of a regular polygon = s
a) The consecutive radii = r + r + 1
i) For Square ( 4- sides) : r + r + 1 = 90°
2r + 1 = 90°
ii) For Pentagon (5- sides) : 2r + 1 =108°
iii) For Hexagon (6- sides): 2r + 1 = 120°
iv) For Heptagon (7- sides): 2r + 1 = 129°
v) For Octagon (8- sides): 2r + 1 = 135°
vi) For Nonagon (9- sides): 2r + 1 = 140°
vii) For 20 sides: 2r + 1 = 162°
b) A radius and a side = r + s
i) For Square (4- sides): r + s = 90°
ii ) For Pentagon (5- sides): r + s = 108°
iii) For Hexagon (6- sides): r + s = 120°
iv) For Heptagon (7- sides): r + s = 129°
v) For Octagon (8- sides): r + s = 135°
vi) For Nonagon (9- sides): r + s = 140°
vii) For 20 sides: r + s = 162°
