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26 May, 00:20

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°

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Answers (1)
  1. 26 May, 01:42
    0
    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°
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