Question

Solve this question ( i think it's from Geometric progression )
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Answer 1

Answer:

Step-by-step explanation:

360 degree

Answer 2

Answer:

n=5

Step-by-step explanation:

angles between conservatives lines are

x deg, 2x deg , 3x deg, ........nx deg

sum of all the angles between conservatives lines will be 360 deg

x + 2x + 3x + ........+ nx = 360

x(1 + 2 + 3 + .........+n) = 360

x = 24

1 + 2 + 3 + .......+n = 15

n(n+1)/2 = 15

n^2 + n = 30

n^2 +n -30 = 0

n^2 +6n -5n +30 = 0

n(n+6) -5(n+6)= 0

(n-5)(n+6)= 0

n = 5. as n can not be negative

n =4 if x = 36 deg

n=3 if x = 60 deg

n=2 if x = 120 deg