Kerala Board Solutions for Chapter: Polygons, Exercise 4: Exercise 4

Draw a hexagon of equal sides and unequal angles.

How much is each angle of a $15$-sided regular polygon? How much is each outer angle?

One angle of a regular polygon is $168°$. How many sides does it have?

Can we draw a regular polygon with each outer angle $6°?$ What about $7°?$

The figure shown a regular pentagon and a regular hexagon put together. How much is $\angle PQR ?$

The figure shows a square, a regular pentagon and a regular hexagon put together. How much is $\angle BAC?$

In the figure,$ABCDEF$ is a regular hexagon. Prove that $△BDF,$ drawn by joining alternate vertices is equilateral.

In the figure, $ABCDEF$ is a regular hexagon. Prove that $ACDF$ is a rectangle.