Directions: Find the number of sides of each polygon given the sum of the interior angles. Write your answer on the blanks.
1.) 1980° _____
2.) 2340° _____
3.) 3240° _____
4.) 4140° _____
5.) 1080° _____
1.) 1980° _____
2.) 2340° _____
3.) 3240° _____
4.) 4140° _____
5.) 1080° _____
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Answer:
1. S = (n - 2) × 180°
1980° = (n - 2) × 180°
n - 2 = 1980°/180°
n - 2 = 11
n = 11 + 2
n = 13
2. S = (n - 2) × 180°
2340° = (n - 2) × 180°
n - 2 = 2340°/180°
n - 2 = 13
n = 13 + 2
n = 15
3. S = (n - 2) × 180°
3240° = (n - 2) × 180°
n - 2 = 3240°/180°
n - 2 = 18
n = 18 + 2
n = 20
4. S = (n - 2) × 180°
4140° = (n - 2) × 180°
n - 2 = 4140°/180°
n - 2 = 23
n = 23 + 2
n = 25
5. S = (n - 2) × 180°
1080° = (n - 2) × 180°
n - 2 = 1080°/180°
n - 2 = 6
n = 6 + 2
n = 8