Sum of the Measures of the Exterior Angles of a Polygon

Find the measure of $\angle QPS$ in the following figure.

Find the measure of $\angle QPS$ in the following figure:

In the adjoining figure, find $x+y+z+w$.

Find the measure of $\angle ADC$.

Find the measure of $x$ in the given figure.

Find the number of sides of a regular polygon if each of its exterior angles is ${45}^0$.

$K°$ 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	$180°$	$2\times 180°$ $=(4-2)\times 180°$	$3\times 180°$ $=(5-2)\times 180°$	$4\times 180°$ $=(6-2)\times 180°$

The number of sides of two regular polygons are in the ratio $1:2$ and their interior angles are in the ratio$3:4.$ Find the number of sides in each polygon.

In a pentagon ABCDE, exterior $\angle B = 70°,$ BC and DC are perpendicular and $\angle CDE =\angle EAB = 2 \angle AED.$ Find the measure of each angle of the polygon.

One of the exterior angles of the triangle $ABC$ is $x^{\circ }$, find the value of $x$.

Two angles of a convex polygon are right angles and each of the other is $120°$. Then the number of sides of the polygon are 

If each interior angle of a regular polygon of $24$ sides is $k°$, then find the value of $k$.

Find the number of sides of a regular polygon, if each exterior angle is $30°$.

Find the number of sides of a regular polygon if each interior angle is:

$165°$

Find the number of sides of a regular polygon if each interior angle is:

$108°$

The value of $x$ in the figure is:

$O$ is a point in the interior of $\angle BAC$. $OB$ and $OC$ are perpendiculars from $O$ to $AB$ and $AC$ respectively and $\angle A=65°$. If $\mathit{\angle }BOC\mathit{=}k\mathit{°}$, then find the value of $k$.