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Which polygons have interior angles in which the sum of the measures of the angles is 720 degrees?

octagon


What is the sum of the polygons interior angle measures if the exterior angle measures 40 degrees?

It is a 9 sided nonagon and its 9 interior angles add up to 1260 degrees


Formula for finding the sum of the angles of a polygon?

For all n-sided polygons: either (180n - 360) degrees or (2n -4) right angles


What is the measures of an exterior angle of a regular octagon?

The exterior angle of an octagon measures 45 degrees. In geometry, this belongs to the group of polygons which are composed of many sides and angles.


What is the sum of the polygons interior angle if the exterior angle measures 40 degrees?

Providing that it's a regular polygon then its interior angles will add up to 1260 degrees with each of its 9 interior angles measuring 140 degrees.


If one exterior angle of a polygon measures 36 degrees what is the sum of the polygons exterior angles?

The sum of the exterior angles in any polygon is 360 degrees.Therefore that polygon is a decagon.


What do hexagons and triangles have in common?

Exterior angles of both polygons add up to 360 degrees


Is the sum of the measures of the angles is 180 degrees?

In a triangle, the sum of the measures of the angles is 180 degrees.


Which regular polygons have interior angles of 150 degrees?

Regular polygons with interior angles of 150 degrees are dodecagons (12-sided polygons). The formula for the interior angle of a regular polygon is ((n-2) \times 180^\circ / n), where (n) is the number of sides. Setting this equal to 150 degrees and solving for (n) confirms that only the dodecagon meets this criterion. Thus, the only regular polygon with interior angles of 150 degrees is the regular dodecagon.


In angles 110 degrees 40 degrees 30 degrees POLYGONS SHAPES?

Polygons are closed figures with straight sides, and their angles can vary. The angles mentioned—110 degrees, 40 degrees, and 30 degrees—could potentially be part of different polygons, but they do not form a single polygon since the sum of the interior angles must equal a specific value based on the number of sides. For example, a triangle has a total angle sum of 180 degrees, while a quadrilateral has 360 degrees. Thus, these angles could be found in various polygons but not together in one.


Do all internal angles in polygons add up to 360 degrees?

No, it is the EXTERNAL angles that add to 360 degrees.


Are all polygons 360 around?

Exterior angles of all polygons total 360 degrees.