Each external angle of a polygon is 20∘ . How many sides does it have? (2024)

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Each external angle of a polygon is 20∘ . How many sides does it have? ›

Thus, the given polygon has 18 sides.

Each exterior angle of a regular polygon = 20 deg. So the polygon has 360/20 = 18 sides.

And the measure of each interior angle of a 20-sided regular polygon = 180° — 18° = 162°. IF IT IS REGULAR, EACH EXTERIOR ANGLE = 360/20 = 18 DEGREES. assuming that the 20-gon is a regular one, the measure of the exterior angle = 360°/20 = 18°.

The exterior angle of a regular polygon is equal to 360 degrees divided by the number of sides. So, if the exterior angle is 20 degrees, the number of sides can be found by dividing 360 by 20, which gives us 18.

where n is the number of sides. 20 RIGHT ANGLES equals to 20( 90°) which equals to 1800°. Using the given info, we can see that n-2 = 10 ==> n= 12. This polygon is known as dodecagon.

In geometry, an icosagon or 20-gon is a twenty-sided polygon.

Each exterior angle of a regular polygon of 20 sides = 360/20 = 18 deg. Each interior angle of a regular polygon of 20 sides = 180 - 18 = 162 deg.

If all the other interior angles of the polygon have the equal measures, what must their measures be? The sum of the interior angles equals: 180°(20–2) = 3240. 3240–88–83–77 = 2992. This leaves 18–3= 15 sides.

Solution: In a 20-sided polygon, the total diagonals are = 20(20-3)/2 = 170. But, since one vertex does not send any diagonals, the diagonals by that vertex needs to be subtracted from the total number of diagonals. In a polygon, it is known that each vertex makes (n-3) diagonals.

The sum of the measures of the interior angles is 3240°. Exercises So, the measure of one interior angle in a regular 20-gon is 162°.

What is the sum of the exterior angles of a regular polygon with 20 sides? ›

Answer and Explanation:

The sum of the measures of the exterior angles of a polygon with 20 sides is 360°.

How many sides does a regular polygon have if the measure of an exterior angle is 22 degree? If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°. Therefore 360 / 12 equals 30, so the polygon has 30 sides.

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.

A megagon or 1 000 000-gon is a polygon with 1 million sides (mega-, from the Greek μέγας megas, meaning "great"). Even if drawn at the size of the Earth, a regular megagon would be very difficult to distinguish from a circle.

To calculate the number of sides of the polygon, divide 360 by the amount of the exterior angle. For example, if the exterior angle is 60 degrees, then dividing 360 by 60 equals 6, which is the number of sides the polygon has.

As each exterior angle of a regular polygon is 18°. ∴ The number of sides of the polygon is 20 when each exterior angle is 18°.

A polygon that has an exterior angle that measures 24 degrees would have 15 sides. It would be called a pentadecagon. The exterior angles of all regular polygons are congruent and all add up to 360 degrees.