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# What is the sum of the polygon's interior angle measures if the exterior angle of a regular polygon's 36 degree?

Updated: 10/25/2022

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1440 degrees

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14y ago

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Q: What is the sum of the polygon's interior angle measures if the exterior angle of a regular polygon's 36 degree?
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1260 degrees

### What is the sum of the measures of the interior angles of the regular polygon if each exterior measures 120?

Hint: in a regular polygon interior plus exterior = 180o, always.

### What is the exterior and interior angles of a regular 20-gon?

Exterior angle measures 18 degrees Interior angle measures 162 degrees

### One exterior angle of a regular polygon measures 30 what is the sum of the polygons exterior angle measures?

If the exterior angle is 30o then the shape has 360/30 = 12 sides. An interior angle = 180 - exterior angle = 180 - 30 = 150. Since the shape has 12 sides the interior angles sum to 150 x 12 = 1800o.

### What to regular polygons has a larger exterior angle?

An equilateral triangle is the only polygon in which the exterior angle is larger than the interior angle. They are equal in a square and smaller in all regular polygons with more sides,

### 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.

### What is the sum of the measures of the interior angles of a regular of a regular polygon if each exterior angle measures 120?

If exterior angles are 120 then interior angles must be 60 so you have an equilateral triangle

### About Approximately how many degrees are in the measure of an interior angle of a regular eight sided polygon?

For regular polygons, all the interior angles are the same measure, while the sum of the exterior angles is always 360 for any regular polygon. Use these facts and the fact that each interior/exterior angle pair has a sum of 180 to answer this question. 360 divided by 8 = 45. So each exterior angle of the figure measures 45. 180 - 45 = 135, so each interior angle measures 135 degrees.

### How many ways can you find the sum of measures of the exterior angles of a polygon?

The sum of a regular polygons exterior angles always = 360

### 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.

360

### What is the formulas to finding interior and exterior angles of regular polygons?

Interior Angles: n-2 (n is number of sides) ____ 180 Exterior angles are always 360 degrees.