Sum of the Measures of the Exterior Angles of a Polygon

The external angle of a regular polygon is $30°$. Find the number of sides of the polygon.

The ratio of internal and external angles of a regular polygon is $3 : 2$. Find the number of sides.

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.

$K°$ is the maximum exterior angle possible for a regular polygon, then find the value of $k$.

Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.)

Figure
Side	$3$	$4$	$5$	$6$
Angle	$180°$	$2\times 180°$ $=(4-2)\times 180°$	$3\times 180°$ $=(5-2)\times 180°$	$4\times 180°$ $=(6-2)\times 180°$

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

Can a regular polygon be possible, whose sum of interior angles is  $2000°$

 Can a regular polygon be possible, whose sum of interior angles is  right angles : $15$ right angles

In Fig. $PQRST$  is a regular pentagon. Find the measures of $\angle a$, $\angle b$ and $\angle c$