Find the measure of each interior angle of a regular octagon. (1 point)
(0 pt) 135°
(0 pts) 1,080°
(0 pts) 180°
(0 pts) 100°

Question

Find the measure of each interior angle of a regular octagon.  (1 point)
  (0 pt) 135°
  (0 pts) 1,080°
  (0 pts) 180°
  (0 pts) 100°

anonymous · Answer

iknow its 132 i just need to know how can you get the answer in an example

anonymous · Answer

135

mathstudent55 · Answer

The sum of the interior angles of an n-sided polygon is (n - 2)180.
In a regular polygon, all angles interior are congruent.

Use the formula above with n = 8
Then divide answer by 8

anonymous · Answer

can you show step by step to get the answer please?

mathstudent55 · Answer

(n - 2) 180
An octagon has 8 sides, so n = 8
(8 - 2)180 = 6(180) = 1080
1080 is the measures of all angles added up together. Since there are 8 congruent (same measure) angles, each angle measures
1080/8 = 135