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Q: What kind of angles are found in a regular polygon?

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Obtuse angles.

This is the definition of a "regular" polygon.

it depends what kind of polygon but the sum of the angles will equal a # divisible by 90

A regular polygon is a special kind of convex polygon - one in which all the sides are of the same length and all the angles are equal. Convex and concave polygons form disjoint sets: so no concave polygon can be regular.

No such regular polygon exist so it has to be some kind of irregular polygon but if each exterior angle was 30 degrees then it would be a regular 12 sided polygon

A polygon can have any kind of angles: acute, right, obtuse and reflex. An angle can have any value in the range (0, 360) degrees excluding 180 degrees.

An irregular polygon

No. If your finding the area of a polygon, it depends on which kind.

A regular polygon.

Correct. A square is a rectangle, a special kind that is 'regular'--all its angles are congruent, and all its sides are congruent.

For 2D shapes: Square, equilateral triangle, any regular polygon (ie. regular pentagon, regular hexagon, etc.) A cube.

The sum of all angles of any polygon does not depend on what kind of polygon it is. It depends on the number of sides a polygon has.So that the sum of all angles of the given hexagon (a 6-sided polygon) is 720°, found by using the formulaSum of a polygon angle measures = 180°(n - 2), where n is the number of sides.Since this is a convex hexagon, all its interior angles are less than 180°.

A regular pentagon (5 sides)

equilateral triangle is an example of regular polygon

pentagon!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The formula to find the sum of the angles of a polygon is: 180(n - 2) Since we know that one angle of this regular polygon is 171 degrees, we can find what kind of polygon it will be, using the formula: 180(n - 2) = 171n 180n - 360 = 171n 180n - 171n = 360 9n = 360 n = 360/9 n = 40 Thus the polygon is a 40-sided polygon. Check: 180(40 - 2) = 180(38) = 6840, which is the sum of the angles of the polygon. 6840/40 = 171 degrees, which is the measure of one of the angles of that polygon .

A tessellation that uses more than one kind of regular polygon is called a semi-regular tessellation.

More than one kind of regular polygon

It is a regular polygon as for example an equilateral triangle

A regular polygon having an interior angle measure of 168o has 30 sides and is called a triacontagon.

A regular polygon

12

square

The exterior angles of any polygon add up to 360 degrees

Since a regular polygon is a series of straight lines of equal length that eventually join up with the start of the first line, this means that the sum of the angles between each line must sum to 360 degrees. If there are 6 sides in the polygon then the angle between each line is 360 degrees divided by 6 sides = 60 degrees.This kind of regular polygon with 6 sides of equal length has a special name, it is called a hexagon.