Interior and Exterior Angles

Find the value of each interior angle.

Find the measure of each angle.

Find the measure of each angle.

Use algebra to prove the polygon exterior angles sum theorem.

Write a proof to prove the polygon interior angles sum theorem for octagons.

If the size of an interior angle of a regular dodecagon is $k°$ then find $k$.

If the ratio of interior angle to the exterior angle of a regular polygon is $7 : 2,$ then find the number of sides of the polygon.

Find the number of sides of a regular polygon if each of its exterior angles measures  $27\frac{9^0}{13}$

Find the number of sides of a regular polygon if each of its exterior angles measures  $12°$

Find the number of sides of a regular polygon if each of its exterior angles measures$30°$

Find the number of sides of the following polygons. if the sum of the interior angles is$2160°$ 

Find the number of sides of the following polygons. if the sum of the interior angles is  $3960°$

Find the number of sides of the following polygons. if the sum of the interior angles is$5040°$ 
  

Find the number of sides of the following polygons, if the sum of the interior angles is
$2700°$

Find the sum of Interior angles of a polygon of $47$ sides.

Find the sum of Interior angles of a polygon of $22$ sides.

Find the sum of Interior angles of a polygon of$7$sides

Find the sum of Interior angles of a polygon of $15$sides.

Observe the pattern and make the next shape giving it a name.

 Triangle                                                    Quadrilateral                                        Pentagon.

 Can a regular polygon be possible, whose sum of interior angles is  $6840°$