Mathematics: A) Each exterior angle in a regular n-gon measures 40˚. How many sides does this n-gon have? b) Each exterior angle in a regular n-gon measures 18˚. How many sides does this n-gon have?

A) Each exterior angle in a regular n-gon measures

Ответ:

renee9913

25.03.2021

Because it is a regular polygon, the sum of all exterior angles is equal to 360 degrees (one revolution). If each side has an exterior angle of 40 degrees, we simply divide 360 by 40 to get 9.

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Ответ:

celestesanchezts

01.06.2022

Mathematics

X * y = 35
y * 10 + x + 18 = x * 10 + y

9 * y - 9 * x + 18 = 0

y = 35 / x

9 * 35 / x - 9 * x + 18 = 0

-9x² + 18x + 315 = 0

x = 7
y = 5

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A) Each exterior angle in a regular n-gon measures 40˚. How many sides does this n-gon have? b) Each exterior angle in a regular n-gon measures 18˚. How many sides does this n-gon have?

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