Find the measure of each interior angle and each exterior angles of the following regular polygons. show your work. decagon pentagon dodecagon 16-gon 25-gon

Hey there,
Decagon -
(10 - 2) x 180 degrees
               = 8 x 180 degrees
               = 1,440 degrees (sum of angles)
1 angle = 1,440 degrees / 10
             = 144 degrees
Pentagon - 
(5 - 2) 180 degrees = 3 x 180 degrees
                                = 540 degrees (sum of angles)
1 angle = 540 degrees / 5 
             = 108 degrees
Do decagon - 
(12 - 2 ) x 180 degrees = 10 x 180 degrees
                                     = 1,800 degrees (sum of angles)
1 angle = 1,800 / 12
             = 150 degrees
16 - gon -
( 16 - 2) x 180 degrees = 14 x 180 degrees
                                     = 2,520 degrees (Sum of angles)
1 angle = 2,520 degrees / 16
             = 157.5 degrees
25 - gon -
(25 - 2) x 180 degrees = 23 x 180 degrees
                                    = 4,140 degrees (sum of angles)
1 angle = 4,140 / 25
             = 165.6 degrees
The formula = (n - 2) x 180 degrees

Hope this helps :))

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