Patterns in Shapes

The sum of the interior angles of a regular polygon is twice the sum of its exterior angles. How many sides does the regular polygon have?

All the angles of a regular polygon are of ________________.

Regular polygons are both equiangular and equilateral.

What is meant by the regular polygon?

If one angle of a five-sided polygon is $140°$ and the remaining angles are in the ratio $1:2:3:4$. Find the measure of the greatest angle.

Examine whether the following are polygons, if not why?
 

Each exterior angle of a regular polygon measures $9°$. How many sides does the polygon have?

Write about the similarities and differences between a pair of shapes.

(One has been done for you)

Shapes	Similarities	Differences
	The angles in both triangles are acute. Each triangle has at least two angles that are the same size.	One triangle has two sides that are the same length. The other has all three sides the same length.

Draw an $8$-sided shape that can be made from the below shapes.

Name this shape:

When joining two adjacent midpoints without using a ruler, can you get a polygon?

Least number of line segments required to make a polygon is

If interior angle of a regular polygon is $2$ times of exterior angle, find the number of sides.

If the external angle of a regular polygon is $60°$, find the sum of all interior angles.

If the number of sides of a regular polygon is $5$, find its each interior angle.

If the interior angle of a regular polygon is $140°$, find the number of sides.

If a mall is in the shape of a regular octagon of side $70 \mathrm{m}$. Then find the cost of flooring of the mall if the cost per unit area is $₹10$.

If each exterior angle of a regular polygon ${30}^{\circ }$. Then find the ratio between the number of sides to the total number of diagonal.

The sum of all the interior angles of regular polygon is $3.5$ times the sum of exterior angles. Find the type of regular polygon and exterior angle.

The difference between exterior angles of two polygon is ${60}^{\circ }$. One has $n$ sides and another polygon has $\left(n+3\right)$ sides. Find the number of side.