Interior and Exterior Angles of Polygons

What is the regular polygon of which the ratio of an internal angle and an external angle is ?

Find the size of an external angle of a regular polygon of which sum of the interal angles is .

For a regular polygon, one of its internal angle is . Find how many diagonals can be drawn from a vertex.

Find the measure of in the following figure.

Find the number of total diagonals in a polygon in which the sum of internal angles is .

Point is the intersection of 's bisector and 's bisector. When , find the measure of .

When and as shown in the figure below, find the measure of .

Find the measure of in shown in the figure below.

Find the measure of in as shown in the figure below.

For a polygon with total diagonals, find the number of triangles made by drawing diagonals from a vertex.

Find the size of an internal angle of a regular octagon.

Find the sum of all the internal angles of a heptagon.

Find the measure of in the figure shown below.

Find the measure of in the figure shown below.

What is the polygon having diagonals?

There are people sitting around a round table. When they are trying to shake hands each other except for the people next to them, find how many handshakes happen.

There are triangles made by drawing diagonals from a vertex in a polygon. Find the number of all the diagonals in the polygon.

There are triangles made by drawing line from an internal point to all the vertices in a polygon. Find how many diagonals can be drawn from a vertex in the polygon.

What is the polygon in which there are diagonals from a vertex?

Find the size of in shown below.

Choose a statement that is NOT correct.

Find the internal angle of the vertex in the quadrilateral shown in the figure below.

Find the external angle of the vertex in triangle as shown in the figure below.