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Exterior angles 360 degrees

Interior angles 540 degrees

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Q: What is the sum of the angle of a polygon of 5 sides?
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Can you divide a pentagon into 3 equal parts?

A pentagon is a polygon with 5 sides. It can be divided into three triangles with an angle sum of 180 degrees each.


What are the characteristics of polygons?

A polygon is any plane figure bounded only by straight lines. A triangle is therefore a polygon with three sides and a pentagon is a polygon with five sides. A convex polygon has no interior angle greater than 180° . A re-entrant polygon has at least one interior angle greater than 180° . A regular polygon has all its sides and angles equal. The sum of the interior angles of a polygon is 2n - 4 right angles (n is the number of sides). The sum of the exterior angles of a convex polygon is 360° .


If the sum of the interior angles of a regular polygon is 540 degrees how many sides does this polygon have?

Where n is the number of sides of a regular polygon, the sum of the internal angles is equal to (n - 2) x 180. In the case of a pentagon, this is equal to (5 - 2) x 180 = 3 x 180 = 540 degrees.Therefore, the number of sides the polygon would have is 5.


What is the sum of the measures of the interior angles of a regular polygon if each exerior angle measures 72 degrees?

There are 5 interior angles and each one measures 108 degrees (180-72). Since the sum of exterior angles of any polygon is 360⁰, then that polygon would have 5 angles (360/72). So the sum of interior angle measures is 540⁰.


The sum of the interior angles of a polygon is 540 degrees How many sides does this polygon have?

We use the formula that the sum is 180(n-2) where n is the number of sides. So 540=180(n-2)540/180-n-23=n-2so n=5 and it is a pentagon.(5 sides)

Related questions

What kind of polygon is a pentagon?

A pentagon is a polygon with an interior angle sum measure of 540 degrees and 5 sides.


How do you work out the angle sum of any polygon?

The sum of the interior angles (the angles of a polygon is equal to the 180*(n-2), where n is the number of sides. For example, if a polygon has 5 sides the sum of the angles is 180*(5-2), which is 540 degrees. The sum of the exterior angles (the angles on the outside of the polygon made by extending a side and measuring the angle between the extension and the nearest side) is always equal to 360 degrees.


What is the sum of the interior angle measures for a regular pentagon?

For a regular polygon with sides n, the sum of the interior angles = (n-2)180Therefore, a regular polygon has interior angle sum equal to 540o.(5-2)180=(3)180=540


If the exterior angle of a regular polygon equals 72 degrees what is the shape of the polygon?

The sum of all exterior angles of a polygon is 360 degrees. In a regular polygon, all of the exterior angle are equal, so there must be 360/72=5 sides of the polygon, which makes it a pentagon.


What is the name of a polygo with 4 right angles and has 5 sided?

It does not exist as a 5 sided polygon. To have 5 sides, it must have 5 angles (or vertices). The sum of the angles of a 5 sided polygon is (5-2) x 180o = 540o. The sum of 4 right angles is 4 x 90o = 360o → the 5th angle is 540o - 360o = 180o which is a straight line There are infinitely many points with such an angle along each of the sides; or to put it another way, for a vertex to exist it cannot have an angle of 180o. Thus if the polygon has 4 right angles, it cannot be a 5 sided polygon.


Can you divide a pentagon into 3 equal parts?

A pentagon is a polygon with 5 sides. It can be divided into three triangles with an angle sum of 180 degrees each.


Does e polygon have more sides or more angle?

It is the same 5 sides and 5 angles.


If each exterior angle of a regular polygon is 72 then how many sides does the regular polygon have?

5 sides, a regular pentagon.


What are the characteristics of polygons?

A polygon is any plane figure bounded only by straight lines. A triangle is therefore a polygon with three sides and a pentagon is a polygon with five sides. A convex polygon has no interior angle greater than 180° . A re-entrant polygon has at least one interior angle greater than 180° . A regular polygon has all its sides and angles equal. The sum of the interior angles of a polygon is 2n - 4 right angles (n is the number of sides). The sum of the exterior angles of a convex polygon is 360° .


What is the formula to find the sum of the interior angles of any polygon?

The sum of the interior angles (the angles of a polygon is equal to the 180*(n-2), where n is the number of sides. For example, if a polygon has 5 sides the sum of the angles is 180*(5-2), which is 540 degrees.


How many sides in regular polygon if exterior angle is 72 degrees?

5 sides


How many sides does the polygon has if each exterior angle of a regular polygon is 20 percent?

5