Question

What is the measure of an interior angle regular 25-gon?

Answer 1

`color(red)( "The measure of each interior angle regular 25-gon"= 165.6^@`

Explanation:

`"To find the measure of each interior angle, first we need to find the sum of the "`
`"measure of all interior angles and divide it by the number of sides. "`

`color(magenta)(I=(180^@(n-2))/n`

`"Where", I= "measure of each interior angle"`
`color(white)"xxxxxx""n=number of sides"`

`"Replacing the values in the formula"`

`I=(180^@(25-2))/25`

`=(180^@xx23)/25`#

`=4140^@/25`

`color(blue)(=165.6^@`

`therefore` `color(red)( "The measure of each interior angle regular 25-gon"= 165.6^@`

`"~Hope this helps! :)"`