Abhishek Chauhan and Vivek Singhal Solutions for Chapter: Understanding Quadrilaterals, Exercise 2: Topic Exercise 3.2

Check whether the following is not true for an exterior angle of a regular polygon with $n$ sides?

$n=\frac{360°}{Exterior angles}$.

Check whether the following is not true for an exterior angle of a regular polygon with $n$ sides?
Each exterior angle$=\frac{(n-2)\times 180°}{n}$.

Prove that the interior angle of a regular pentagon is three times the exterior angle of a regular decagon.

Two regular polygons are such that the ratio between their number of sides is $1:3$ and the ratio of measure of their interior angles is $3:5$. Find the number of sides of each polygon.

The exterior angle of a regular polygon is one-fifth of its interior angle. How many sides the polygon has?

If $ABCDEF$ is a regular hexagon, then determine each angle of $△AFC$?

In a convex hexagon, prove that the sum of all interior angles is equal to twice the sum of its exterior angles formed by producing the sides in the same order.

Find the number of diagonals, each interior and exterior angles in an octagon.