If an interior angle of a regular polygon measures 144 degrees how many sides does it have ?

1 Answer
Mar 16, 2018

#color(magenta)(=10 # sides

Explanation:

To find the no. of sides, we first need to find the measurement of the exterior angle.

Exterior angle #= 180^@-"m. of int. angle"#

#=180^@-144^@#

#=36^@#

To find the no. of sides, we use the formula #color(red)(=> 360^@/"m. of ext. angle"#

That is, no. of sides#=360^@/36^@#

#color(magenta)(=10 # sides

~Hope this helps! :)