## Question

Secondary 1 | Maths

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##### Lakssitaa

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Date Posted: 1 month ago
Views: 27
AC Lim
1 month ago
Total exterior angle of regular polygon = 360
If each angle is 50.
Then number of side = 360÷50 =7.2
Therefore, 50° Carol is wrong as number of side should be an integer.(no decimals).

b)
Number of side should be 7 if 50° very close to measurements.
Therefore, 360÷7 = 51.42857143°
Alternatively,
Interior angle = 180-50=130
(n-2)×180°÷n = 130°
180n-360=130n
50n = 360
n = 7.2
Therefore, number of sides = 7.

Total exterior angle of regular polygon = 360
If each angle is 50.
Then number of side = 360÷50 =7.2
Therefore, 50° Carol is wrong as number of side should be an integer.(no decimals).

b)
Number of side should be 7 if 50° very close to measurements.
Therefore, 360÷7 = 51.42857143°
Alternatively,
Interior angle = 180-50=130
(n-2)×180°÷n = 130°
180n-360=130n
50n = 360
n = 7.2
Therefore, number of sides = 7.