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## Question

Secondary 1 | Maths

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Both a and b please

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.

### See 1 Answer

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.