Question

What is the measure of one interior angle in a 24-gon?

Answer 1

`3960^@`

Explanation:

Given: `24`-gon

The interior angles are based on the number of sides:

`ul (n" number of triangles interior angles")`
`3" "1" "180^@`
`4" "2" "2 * 180^@ = 360^@`
`5" "3" "3 * 180^@ = 540^@`
`6" "4" "4 * 180^@ = 720^@`
...

`24" "22" "22 * 180^@ = 3960^@`

The formula: `(n-2)*180^@`, where `n` = number of sides