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1440 degrees

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Sydney Kautzer

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2y ago
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Q: One exterior angle of a regular polygon measures 36. What is the sum of the polygon's interior angle measures?
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One exterior angle of a regular polygon measures 40 What is the sum of the polygons interior angle measures?

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.


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.


One exterior angle of a regular polygon measures 40 What is the sum of the polygon's interior angle measures?

1260


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

1440 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 is the sum of the measures of the interior of a regular polygon if each exterior angle measures 90?

360


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.


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


One exterior angle of a regular polygon measures 30 degrees what is the sum of the polygon's interior angle measures?

1800 degrees


What is the sum of the measures of the interior angles of a regular polygon if each exterior angle measures 90?

360


What polygons has the larger exterior angle?

A polygon with any number of sides can have an exterior angle that is larger than the corresponding interior angle. However, a triangle is the only regular polygon where the exterior angle is larger.