#"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! :)"#