Number of sides of the regular polygon when the sum of the measure of the vertex angle is 21600

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Answer:

1. 11 sides

2. 13 sides

3. 26 sides

Solutions:

1. 1620°=(n-2)180°

1620°=180°n-360°

1620°+360°=180°n

1980°=180°n

11=n

2. 1980°=(n-2)180°

1980°=180°n-360°

1980°+360°=180°n

2340°=180°n

13=n

3. 4320°=(n-2)180°

4320°=180°n-360°

4320°+360°=180°n

4680°=180°n

26=n

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