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

1 Answer
Mahek ☮
Mar 28, 2018

#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! :)"#

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