Polygons

Find the number of sides of a regular polygon, if the measure of each of its interior angles is $150°$.

Find $k,$ if the sum of the interior angles of $8-$sided polygon is $k°$.

$PQRS$ is a parallelogram in which $PR$ is perpendicular to $QS$. If $PR=8 cm \& QS=6 cm,$ then find $PS$. 

In a N-sided regular polygon, each interior angle is $144°$. Find the number of the sides of the polygon.

In the given figure, $ABCD$ is a square of side $8 cm \& PM\perp AB$. FInd the length of $MC$.

$ABCD$ is an isosceles trapezium. $AB\parallel CD$. $AE \& BF$ are the perpendicular drawn to $CD$. THe congruence property used to prove the congruence of triangle $AED \& BFS$ is _____

In a regular convex polygon, each interior angle is not more than each exterior angle. How many such polygons are possible?

The sum of the interior angle of a $10$ sided polygon is _____

A regular polygon has $N$ sides where $N<10$. Each of the its interior angles is an integer in degrees. How many such polygons are possible?

Which of the following can be one of the angles of a regular polygon?

Which of the following holds true?