Question

find the measures of each interior angle of each regular regular polygons show all work quadrilateral Pentagon documents a gun

Answer 1

We have a formula to find the interior angles sum of a regular polygons, we just need the number of sides

`(n-2)*180`

where n is the number of sides

We can modify the formula to know the measure of the angles, since they all measure the same, we will divide into the number of angles

So:

`((n-2)*180)/(n)`

now

Octagon

`\begin{gathered} ((8-2)*180)/(8) \\ (6*180)/(8) \\ (1080)/(8) \\ =135 \end{gathered}`

nonagon

`\begin{gathered} ((9-2)*180)/(9) \\ (7*180)/(9) \\ =140 \end{gathered}`

12-gon

`\begin{gathered} ((12-2)*180)/(12) \\ (10*180)/(12) \\ =150 \end{gathered}`