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B. Find the number of sides of the regular polygon when the sum of the measures of the vertex angles
are given. (Show your solutions)
Example: 720°
Solution: S = (n - 2 ) 180°
using the same formula
720° = (n-2) 180° substitute the given sum measures of the vertex angle
720 = 180°n - 360° multiply (n - 2 ) to 180°
720° + 360° = 180n transposition
1080° = 180n
divide both side of the equation by the coefficient 180
180 180
6
answer; 6 sides or hexagon
=n
3. 4320°
1. 1620°
2. 1980°​

B Find The Number Of Sides Of The Regular Polygon When The Sum Of The Measures Of The Vertex Anglesare Given Show Your SolutionsExample 720Solution S N 2 180usi class=

Sagot :

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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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