What type of polygon has 20 diagonals?

What type of polygon has 20 diagonals?

octagon
an octagon has 8(8−3)/2 = 8×5/2 = 20 diagonals.

What does a 20-gon add up to?

In geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon’s interior angles is 3240 degrees.

Which of the following will have 20 diagonals if the number of diagonals of an n sided polygon is n n 3 ⁄ 2?

Find number of sides If it has 20 diagonals . the number of diagonals in a polygon=n(n-3) /2,where n is the number of sides of a polygon? Very Simple ! The polygon has 8 sides.

Which of the following will have 20 diagonals if the number of diagonals of an n sided polygon is?

Ans: n=8.

What is the interior angle of a 20 sided polygon?

The sum of the measures of the interior angles is 3240°. Divide the sum by 20 to find the measure of one angle. 3240 20 = 162 So, the measure of one interior angle in a regular 20-gon is 162°.

How do you measure a 20-gon?

The sum of the measures of the interior angles is 3240°. Divide the sum by 20 to find the measure of one angle. 3240 20 = 162 So, the measure of one interior angle in a regular 20-gon is 162°. Exercises Classify each polygon.

How many lines of symmetry does a 20-gon have?

20Icosagon / Line of symmetry

How many sides does a polygon have with 20 diagonals?

How do you find the number of diagonals in a polygon with 20 sides?

In a 20-sided polygon, the total diagonals are = 20(20-3)/2 = 170.

How many diagonals are there in a polygon of 20 sides?

170
In a 20-sided polygon, the total diagonals are = 20(20-3)/2 = 170.

What is the number of sides of the polygon if the number of its diagonals is 20?

⇒n=8 (∵ n cannot be negative)

How many degrees are in a 20-gon angle?

Answer and Explanation: The measure of each interior angle of a regular 20-gon is 162°.

How many interior angles are in a 20-gon?

Divide the sum by 20 to find the measure of one angle. 3240 20 = 162 So, the measure of one interior angle in a regular 20-gon is 162°. Exercises Classify each polygon.

What’s the exterior angle of a 20-gon?

18°
A 20-gon has 20 sides and 20 vertices. Sum of ext. s = 360°. The measure of each exterior angle of a regular 20-gon is 18°.

What is a 20 sided polygon?

icosagon
In geometry, a 20 sided shape, i.e. 2d shape is called an icosagon. The sum of all the interior angles of an icosagon is 3240 degrees. An icosagon with all equal sides is called a regular icosagon.

What are the angles of rotation for a 20-gon?

The 20-sided polygon, AKA “icosagon”, has 18 degree rotational symmetry about the center.

Which polygon has 170 diagonals?

Hence there will be 170 diagonals in a 20 sided polygon. Question 6: There are 405 diagonals in a polygon, find the number of sides it has?

How many triangles are there in a 20 sided polygon?

320 triangles
Triangles can be drawn using one side of the polygon. If we take one side, then there are a total of 16 triangles that can be drawn and we have 20 sides. So, total 20×16=320 triangles.