Question

1. Given a regular octagon, find the measures of the angles formed by (a) two consecutive radii and (b) a

radius and a side of the polygon.
a. 40°; 230°
b. 45°; 67.5°
c. 72°; 252°
d. 36°; 216°

Answer 1

a ) The angle formed by 2 consecutive radii:
Ф= 360° : 8 = 45°
b ) The angle formed by a radius and a side of a polygon:
α = (180° - 45°): 2 = 135° : 2 = 67.5°
Answer:
B ) 45°, 67.5°