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25 Points

II. Directions: Find the number of sides of the regular polygon given the following sum of interior angles.

4. 1260°
Solution:
Number of sides:

5. 1980°
Solution:
Number of sides:

6. 4320°
Solution:
Number of sides: ​

Sagot :

Answer with Step-by-step explanation:

Sum of interior angles = (n-2)(180°)

or

n = (sum of interiorior angles/180°) + 2

Where n = number of sides

4) Given: Sum of interior angles = 1,260°  

Solution:

n = (1,260°/180°) + 2

n = 7 + 2

n = 9

Number of sides: 9

5) Given: Sum of interior angles = 1,980°

Solution:

n = (1,980°/180°) + 2

n =  11 + 2

n = 13

Number of sides:  13

6) Given: Sum of interior angles = 4,320°

Solution:

n = (4,320°/180°) + 2

n =  24 + 2

n = 26

Number of sides:  26

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