find the measure of each exterior angle of a regular polygon
9side
12side
15side
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Answer:
(i) 9 sides
The total sum of all exterior angles = 360°
Each exterior angle = Sum of exterior angles / Number of sides
= 360°/9
= 40°
Each exterior angle = 40°
(ii) 15 sides
The total sum of all exterior angles = 360°
Each exterior angle = Sum of exterior angles / Number of sides
= 360°/15
= 24°
Answered by
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Answer:
Sum of exterior angles of a polygon is always 360°
Find one exterior angle of a 9-sided polygon:
9 exterior angles = 360°
1 exterior angle = 360 + 9 = 40°
Find one exterior angle of a 12-sided polygon:
12 exterior angles = 360°
1 exterior angle = 360 - 12 = 30°
Answer: One exterior angle of a regular 9-sided polygon is 40°. One exterior angle of a regular 12-sided polygon is 30°.
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